Least Common Multiple of 432/937, 896/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 432/937, 896/518 quickly i.e. 24192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/937, 896/518 is 24192.

LCM(432/937, 896/518) = 24192

LCM of 432/937, 896/518

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 432/937,896/518

Given numbers are 432/937,896/518

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 432,896

Least Common Multiple of Numerators i.e. LCM of 432,896 is 24192.

GCF of Denominators means GCF of 937,518 as per the given fractions.

GCF of 937,518 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,896

LCM of Fractions 432/937,896/518 is 24192

2 432, 896
2 216, 448
2 108, 224
2 54, 112
27, 56

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 27 x 56 = 24192

Least Common Multiple of 432,896 with GCF Formula

Least Common Multiple of 432,896 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 432,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,896) = 16

common factors(in case of two or more numbers have common factors) = 1

GCF(432,896) x common factors =16 x 1 = 16

LCM(432,896) = ( 432 × 896 ) / 16

LCM(432,896) = 387072 / 16

LCM(432,896) = 24192


Lets's calculate GCF of 937,518

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24192/1

Therefore the LCM of Fractions 432/937,896/518 is 24192

Greatest Common Factor of 937,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 937,518 By Matching Biggest Common Factor Method

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 937,518 . The biggest common factor number is the GCF number.
So the greatest common factor 937,518 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 432/937, 896/518

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 432/937, 896/518?

Answer: LCM of Numerators as per given numbers 432/937, 896/518 is

LCM of Numerators i.e. for 432,896 is 24192

GCF of denominators i.e. for 937,518 is 1.

Thus, LCM of Fractions is 24192.Finally, LCM of Fractions for 432/937, 896/518 is 24192.