Least Common Multiple of 907/82, 107/63, 304/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 907/82, 107/63, 304/256 quickly i.e. 29502896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 907/82, 107/63, 304/256 is 29502896.

LCM(907/82, 107/63, 304/256) = 29502896

LCM of 907/82, 107/63, 304/256

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 907/82,107/63,304/256

Given numbers are 907/82,107/63,304/256

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 907,107,304

Least Common Multiple of Numerators i.e. LCM of 907,107,304 is 29502896.

GCF of Denominators means GCF of 82,63,256 as per the given fractions.

GCF of 82,63,256 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 907,107,304

LCM of Fractions 907/82,107/63,304/256 is 29502896

Given numbers has no common factors except 1. So, there LCM is their product i.e 29502896

Least Common Multiple of 907,107,304 with GCF Formula

Least Common Multiple of 907,107,304 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 907,107,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,107,304) = 1

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

GCF(907,107,304) x common factors =1 x 1 = 1

LCM(907,107,304) = ( 907 × 107 × 304 ) / 1

LCM(907,107,304) = 29502896 / 1

LCM(907,107,304) = 29502896


Lets's calculate GCF of 82,63,256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29502896/1

Therefore the LCM of Fractions 907/82,107/63,304/256 is 29502896

Greatest Common Factor of 82,63,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,63,256 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 82,63,256 . The biggest common factor number is the GCF number.
So the greatest common factor 82,63,256 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 907/82, 107/63, 304/256

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 907/82, 107/63, 304/256?

Answer: LCM of Numerators as per given numbers 907/82, 107/63, 304/256 is

LCM of Numerators i.e. for 907,107,304 is 29502896

GCF of denominators i.e. for 82,63,256 is 1.

Thus, LCM of Fractions is 29502896.Finally, LCM of Fractions for 907/82, 107/63, 304/256 is 29502896.