Least Common Multiple of 94/481, 99/757, 264/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/481, 99/757, 264/564 quickly i.e. 37224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/481, 99/757, 264/564 is 37224.

LCM(94/481, 99/757, 264/564) = 37224

LCM of 94/481, 99/757, 264/564

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 94/481,99/757,264/564

Given numbers are 94/481,99/757,264/564

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 94,99,264

Least Common Multiple of Numerators i.e. LCM of 94,99,264 is 37224.

GCF of Denominators means GCF of 481,757,564 as per the given fractions.

GCF of 481,757,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,99,264

LCM of Fractions 94/481,99/757,264/564 is 37224

2 94, 99, 264
3 47, 99, 132
11 47, 33, 44
47, 3, 4

∴ So the LCM of the given numbers is 2 x 3 x 11 x 47 x 3 x 4 = 37224

Least Common Multiple of 94,99,264 with GCF Formula

Least Common Multiple of 94,99,264 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 94,99,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,99,264) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(94,99,264) x common factors =1 x 66 = 66

LCM(94,99,264) = ( 94 × 99 × 264 ) / 66

LCM(94,99,264) = 2456784 / 66

LCM(94,99,264) = 37224


Lets's calculate GCF of 481,757,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37224/1

Therefore the LCM of Fractions 94/481,99/757,264/564 is 37224

Greatest Common Factor of 481,757,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,757,564 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 481,757,564 . The biggest common factor number is the GCF number.
So the greatest common factor 481,757,564 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 94/481, 99/757, 264/564

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 94/481, 99/757, 264/564?

Answer: LCM of Numerators as per given numbers 94/481, 99/757, 264/564 is

LCM of Numerators i.e. for 94,99,264 is 37224

GCF of denominators i.e. for 481,757,564 is 1.

Thus, LCM of Fractions is 37224.Finally, LCM of Fractions for 94/481, 99/757, 264/564 is 37224.