Least Common Multiple of 8432/952, 5612/6316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8432/952, 5612/6316 quickly i.e. 2957524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8432/952, 5612/6316 is 2957524.

LCM(8432/952, 5612/6316) = 2957524

LCM of 8432/952, 5612/6316

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 8432/952,5612/6316

Given numbers are 8432/952,5612/6316

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 8432,5612

Least Common Multiple of Numerators i.e. LCM of 8432,5612 is 11830096.

GCF of Denominators means GCF of 952,6316 as per the given fractions.

GCF of 952,6316 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8432,5612

LCM of Fractions 8432/952,5612/6316 is 2957524

2 8432, 5612
2 4216, 2806
2108, 1403

∴ So the LCM of the given numbers is 2 x 2 x 2108 x 1403 = 11830096

Least Common Multiple of 8432,5612 with GCF Formula

Least Common Multiple of 8432,5612 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 8432,5612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8432,5612) = 4

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

GCF(8432,5612) x common factors =4 x 1 = 4

LCM(8432,5612) = ( 8432 × 5612 ) / 4

LCM(8432,5612) = 47320384 / 4

LCM(8432,5612) = 11830096


Lets's calculate GCF of 952,6316

2 952, 6316
2 476, 3158
238, 1579

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11830096/4

Therefore the LCM of Fractions 8432/952,5612/6316 is 2957524

Greatest Common Factor of 952,6316 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,6316 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 6316

List of positive integer factors of 6316 that divides 6316 without a remainder.

1,2,4,1579,3158,6316

Greatest Common Factor

We found the factors 952,6316 . The biggest common factor number is the GCF number.
So the greatest common factor 952,6316 is 4.


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 8432/952, 5612/6316

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 8432/952, 5612/6316?

Answer: LCM of Numerators as per given numbers 8432/952, 5612/6316 is

LCM of Numerators i.e. for 8432,5612 is 11830096

GCF of denominators i.e. for 952,6316 is 4.

Thus, LCM of Fractions is 2957524.Finally, LCM of Fractions for 8432/952, 5612/6316 is 2957524.