Least Common Multiple of 91/442, 532/381, 544/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/442, 532/381, 544/733 quickly i.e. 940576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/442, 532/381, 544/733 is 940576.

LCM(91/442, 532/381, 544/733) = 940576

LCM of 91/442, 532/381, 544/733

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 91/442,532/381,544/733

Given numbers are 91/442,532/381,544/733

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 91,532,544

Least Common Multiple of Numerators i.e. LCM of 91,532,544 is 940576.

GCF of Denominators means GCF of 442,381,733 as per the given fractions.

GCF of 442,381,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,532,544

LCM of Fractions 91/442,532/381,544/733 is 940576

2 91, 532, 544
2 91, 266, 272
7 91, 133, 136
13, 19, 136

∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 19 x 136 = 940576

Least Common Multiple of 91,532,544 with GCF Formula

Least Common Multiple of 91,532,544 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 91,532,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,532,544) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(91,532,544) x common factors =1 x 28 = 28

LCM(91,532,544) = ( 91 × 532 × 544 ) / 28

LCM(91,532,544) = 26336128 / 28

LCM(91,532,544) = 940576


Lets's calculate GCF of 442,381,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 940576/1

Therefore the LCM of Fractions 91/442,532/381,544/733 is 940576

Greatest Common Factor of 442,381,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,381,733 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 442,381,733 . The biggest common factor number is the GCF number.
So the greatest common factor 442,381,733 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 91/442, 532/381, 544/733

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 91/442, 532/381, 544/733?

Answer: LCM of Numerators as per given numbers 91/442, 532/381, 544/733 is

LCM of Numerators i.e. for 91,532,544 is 940576

GCF of denominators i.e. for 442,381,733 is 1.

Thus, LCM of Fractions is 940576.Finally, LCM of Fractions for 91/442, 532/381, 544/733 is 940576.