Least Common Multiple of 75/741, 850/656, 744/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/741, 850/656, 744/521 quickly i.e. 316200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/741, 850/656, 744/521 is 316200.

LCM(75/741, 850/656, 744/521) = 316200

LCM of 75/741, 850/656, 744/521

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 75/741,850/656,744/521

Given numbers are 75/741,850/656,744/521

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 75,850,744

Least Common Multiple of Numerators i.e. LCM of 75,850,744 is 316200.

GCF of Denominators means GCF of 741,656,521 as per the given fractions.

GCF of 741,656,521 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,850,744

LCM of Fractions 75/741,850/656,744/521 is 316200

2 75, 850, 744
3 75, 425, 372
5 25, 425, 124
5 5, 85, 124
1, 17, 124

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 17 x 124 = 316200

Least Common Multiple of 75,850,744 with GCF Formula

Least Common Multiple of 75,850,744 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 75,850,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,850,744) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(75,850,744) x common factors =1 x 150 = 150

LCM(75,850,744) = ( 75 × 850 × 744 ) / 150

LCM(75,850,744) = 47430000 / 150

LCM(75,850,744) = 316200


Lets's calculate GCF of 741,656,521

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316200/1

Therefore the LCM of Fractions 75/741,850/656,744/521 is 316200

Greatest Common Factor of 741,656,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,656,521 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Greatest Common Factor

We found the factors 741,656,521 . The biggest common factor number is the GCF number.
So the greatest common factor 741,656,521 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 75/741, 850/656, 744/521

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 75/741, 850/656, 744/521?

Answer: LCM of Numerators as per given numbers 75/741, 850/656, 744/521 is

LCM of Numerators i.e. for 75,850,744 is 316200

GCF of denominators i.e. for 741,656,521 is 1.

Thus, LCM of Fractions is 316200.Finally, LCM of Fractions for 75/741, 850/656, 744/521 is 316200.