Least Common Multiple of 75/639, 521/57, 410/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/639, 521/57, 410/378 quickly i.e. 1068050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/639, 521/57, 410/378 is 1068050.

LCM(75/639, 521/57, 410/378) = 1068050

LCM of 75/639, 521/57, 410/378

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 75/639,521/57,410/378

Given numbers are 75/639,521/57,410/378

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 75,521,410

Least Common Multiple of Numerators i.e. LCM of 75,521,410 is 3204150.

GCF of Denominators means GCF of 639,57,378 as per the given fractions.

GCF of 639,57,378 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,521,410

LCM of Fractions 75/639,521/57,410/378 is 1068050

5 75, 521, 410
15, 521, 82

∴ So the LCM of the given numbers is 5 x 15 x 521 x 82 = 3204150

Least Common Multiple of 75,521,410 with GCF Formula

Least Common Multiple of 75,521,410 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 75,521,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,521,410) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(75,521,410) x common factors =1 x 5 = 5

LCM(75,521,410) = ( 75 × 521 × 410 ) / 5

LCM(75,521,410) = 16020750 / 5

LCM(75,521,410) = 3204150


Lets's calculate GCF of 639,57,378

3 639, 57, 378
213, 19, 126

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3204150/3

Therefore the LCM of Fractions 75/639,521/57,410/378 is 1068050

Greatest Common Factor of 639,57,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,57,378 By Matching Biggest Common Factor Method

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 639,57,378 . The biggest common factor number is the GCF number.
So the greatest common factor 639,57,378 is 3.


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 75/639, 521/57, 410/378

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 75/639, 521/57, 410/378?

Answer: LCM of Numerators as per given numbers 75/639, 521/57, 410/378 is

LCM of Numerators i.e. for 75,521,410 is 3204150

GCF of denominators i.e. for 639,57,378 is 3.

Thus, LCM of Fractions is 1068050.Finally, LCM of Fractions for 75/639, 521/57, 410/378 is 1068050.