Least Common Multiple of 761/170, 136/636, 542/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 761/170, 136/636, 542/572 quickly i.e. 14023708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 761/170, 136/636, 542/572 is 14023708.

LCM(761/170, 136/636, 542/572) = 14023708

LCM of 761/170, 136/636, 542/572

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 761/170,136/636,542/572

Given numbers are 761/170,136/636,542/572

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 761,136,542

Least Common Multiple of Numerators i.e. LCM of 761,136,542 is 28047416.

GCF of Denominators means GCF of 170,636,572 as per the given fractions.

GCF of 170,636,572 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 761,136,542

LCM of Fractions 761/170,136/636,542/572 is 14023708

2 761, 136, 542
761, 68, 271

∴ So the LCM of the given numbers is 2 x 761 x 68 x 271 = 28047416

Least Common Multiple of 761,136,542 with GCF Formula

Least Common Multiple of 761,136,542 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 761,136,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,136,542) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(761,136,542) x common factors =1 x 2 = 2

LCM(761,136,542) = ( 761 × 136 × 542 ) / 2

LCM(761,136,542) = 56094832 / 2

LCM(761,136,542) = 28047416


Lets's calculate GCF of 170,636,572

2 170, 636, 572
85, 318, 286

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28047416/2

Therefore the LCM of Fractions 761/170,136/636,542/572 is 14023708

Greatest Common Factor of 170,636,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,636,572 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 170,636,572 . The biggest common factor number is the GCF number.
So the greatest common factor 170,636,572 is 2.


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 761/170, 136/636, 542/572

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 761/170, 136/636, 542/572?

Answer: LCM of Numerators as per given numbers 761/170, 136/636, 542/572 is

LCM of Numerators i.e. for 761,136,542 is 28047416

GCF of denominators i.e. for 170,636,572 is 2.

Thus, LCM of Fractions is 14023708.Finally, LCM of Fractions for 761/170, 136/636, 542/572 is 14023708.