Question

Q&A Session
1. # The L.C.M. Of Two Numbers Is 140. If Their Ratio Is 2:5, Then The Numbers Are?

This is a Sudoku puzzle. If the letters in the grid are arranged in a 3×3 grid so that each column and row adds up to 140, what are the two numbers?

## If the numbers are 140 and their ratio is 2:5, then the numbers are two hundred and forty

If the numbers are 140 and their ratio is 2:5, then the numbers are two hundred and forty. If their ratio is :, then the numbers are two hundred and eighty.

## If the numbers are 140 and their ratio is 3:2, then the numbers are four hundred and eighty

If the numbers are 140 and their ratio is 3:2, then the numbers are four hundred and eighty. If their ratio is :, then the numbers are?

## If the numbers are 140 and their ratio is 4:1, then the numbers are five hundred

If the numbers are 140 and their ratio is 4:1, then the numbers are five hundred. If their ratio is :, then the numbers are fifty.

## If the numbers are 140 and their ratio is 5:0, then the number is zero

If the numbers are 140 and their ratio is 5:0, then the number is zero. 140 cannot be divided evenly into 5, so the number is zero.

2. # The L.C.M. Of Two Numbers Is 140. If Their Ratio Is 2:5, Then The Numbers Are

The L.C.M. of two numbers is the smallest number that can be divided by both of them. The G.C.D. is the largest number that will divide into both of them evenly, but it’s not necessarily the same as the L.C.M..

## What is the least common multiple (L.C.M.) of two numbers?

The least common multiple (L.C.M.) of two numbers is the smallest positive number that is a multiple of both numbers.

For example, the L.C.M. of 2 and 10 is 20 because 2*20=40 and 10*20=200, but 4*20=80 and 8*20=160 are not multiples of either 2 or 10 and so do not qualify as their least common multiple. Similarly, if you were looking for the least common denominator (LCD) instead of least common multiple then you would need to subtract 1 from each number before finding its LCD–for example: 3/5 – 1 = 2/5; therefore 2/5 = LCD(3/5).

## What is the greatest common divisor (G.C.D.) of two numbers?

The greatest common divisor (GCD) of two numbers is the largest number that divides both numbers without leaving a remainder. The GCD of two integers can be found using the Euclidean algorithm, which is based on the fact that if you multiply both sides of an equation by some number, it doesn’t change the value of that equation:

`[(a – b)(a + b)] = [(ab) / (a – b)]`

Let’s say you have two numbers, A and B. You want to find out what their GCD is so that you can use this information when adding or subtracting them together! To do this with our example here..

## Find the lowest common denominator (lowest common factor) of two fractions.

To find the lowest common denominator of two numbers, you can use a process called cross-multiplication.

To do this, multiply each term in one fraction by its corresponding term in the other fraction and then add up all your products:

• 3 * 5 = 15 (first term)
• 4 * 2 = 8 (second term)
• 3 * 2 = 6 (third term)

Now add those three products together: 15 + 8 + 6 = 29. That’s your lowest common denominator! You could then simplify it further by dividing both sides by 29 to get 1/29 as your final answer for this example problem above if you want to get rid of decimals completely; however that’s not necessary when working with fractions since they’re already simplified anyway.

## Find the highest common factor (Highest Common Factor or HCF) between two integers.

The HCF of two integers is the largest integer which divides both numbers without a remainder.

The HCF(a, b) = HCF(a, c) if and only if ac = bc

## Takeaway:

You can find the LCM of two numbers by dividing each number by every other one in the group until you get down to a common denominator. For example, if you have a group of three numbers (1, 2 and 3) and want to find their L.C., then we need to find out what number we can divide by all three without changing its value: 1/2 = 0; 2/3 = 0; 3/4 = 0

We see that there is no answer here! This means that no common denominator exists for these fractions and therefore they do not belong together as an LCM pair.

The LCM of two numbers is the product of their factors. The GCD of two numbers is the largest factor they share. The HCF of two integers is their least common multiple.