Least Common Multiple of 4732/761, 8696/2456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4732/761, 8696/2456 quickly i.e. 10287368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4732/761, 8696/2456 is 10287368.

LCM(4732/761, 8696/2456) = 10287368

LCM of 4732/761, 8696/2456

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 4732/761,8696/2456

Given numbers are 4732/761,8696/2456

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 4732,8696

Least Common Multiple of Numerators i.e. LCM of 4732,8696 is 10287368.

GCF of Denominators means GCF of 761,2456 as per the given fractions.

GCF of 761,2456 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4732,8696

LCM of Fractions 4732/761,8696/2456 is 10287368

2 4732, 8696
2 2366, 4348
1183, 2174

∴ So the LCM of the given numbers is 2 x 2 x 1183 x 2174 = 10287368

Least Common Multiple of 4732,8696 with GCF Formula

Least Common Multiple of 4732,8696 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 4732,8696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4732,8696) = 4

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

GCF(4732,8696) x common factors =4 x 1 = 4

LCM(4732,8696) = ( 4732 × 8696 ) / 4

LCM(4732,8696) = 41149472 / 4

LCM(4732,8696) = 10287368


Lets's calculate GCF of 761,2456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10287368/1

Therefore the LCM of Fractions 4732/761,8696/2456 is 10287368

Greatest Common Factor of 761,2456 By Matching Biggest Common Factor Method

Greatest Common Factor of 761,2456 By Matching Biggest Common Factor Method

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 2456

List of positive integer factors of 2456 that divides 2456 without a remainder.

1,2,4,8,307,614,1228,2456

Greatest Common Factor

We found the factors 761,2456 . The biggest common factor number is the GCF number.
So the greatest common factor 761,2456 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 4732/761, 8696/2456

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 4732/761, 8696/2456?

Answer: LCM of Numerators as per given numbers 4732/761, 8696/2456 is

LCM of Numerators i.e. for 4732,8696 is 10287368

GCF of denominators i.e. for 761,2456 is 1.

Thus, LCM of Fractions is 10287368.Finally, LCM of Fractions for 4732/761, 8696/2456 is 10287368.