Least Common Multiple of 24/361, 118/766, 424/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/361, 118/766, 424/782 quickly i.e. 75048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/361, 118/766, 424/782 is 75048.

LCM(24/361, 118/766, 424/782) = 75048

LCM of 24/361, 118/766, 424/782

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 24/361,118/766,424/782

Given numbers are 24/361,118/766,424/782

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 24,118,424

Least Common Multiple of Numerators i.e. LCM of 24,118,424 is 75048.

GCF of Denominators means GCF of 361,766,782 as per the given fractions.

GCF of 361,766,782 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,118,424

LCM of Fractions 24/361,118/766,424/782 is 75048

2 24, 118, 424
2 12, 59, 212
2 6, 59, 106
3, 59, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 59 x 53 = 75048

Least Common Multiple of 24,118,424 with GCF Formula

Least Common Multiple of 24,118,424 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 24,118,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,118,424) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(24,118,424) x common factors =2 x 8 = 16

LCM(24,118,424) = ( 24 × 118 × 424 ) / 16

LCM(24,118,424) = 1200768 / 16

LCM(24,118,424) = 75048


Lets's calculate GCF of 361,766,782

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75048/1

Therefore the LCM of Fractions 24/361,118/766,424/782 is 75048

Greatest Common Factor of 361,766,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,766,782 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 361,766,782 . The biggest common factor number is the GCF number.
So the greatest common factor 361,766,782 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 24/361, 118/766, 424/782

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 24/361, 118/766, 424/782?

Answer: LCM of Numerators as per given numbers 24/361, 118/766, 424/782 is

LCM of Numerators i.e. for 24,118,424 is 75048

GCF of denominators i.e. for 361,766,782 is 1.

Thus, LCM of Fractions is 75048.Finally, LCM of Fractions for 24/361, 118/766, 424/782 is 75048.