Least Common Multiple of 76/72, 38/82, 355/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/72, 38/82, 355/252 quickly i.e. 13490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/72, 38/82, 355/252 is 13490.

LCM(76/72, 38/82, 355/252) = 13490

LCM of 76/72, 38/82, 355/252

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 76/72,38/82,355/252

Given numbers are 76/72,38/82,355/252

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 76,38,355

Least Common Multiple of Numerators i.e. LCM of 76,38,355 is 26980.

GCF of Denominators means GCF of 72,82,252 as per the given fractions.

GCF of 72,82,252 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,38,355

LCM of Fractions 76/72,38/82,355/252 is 13490

2 76, 38, 355
19 38, 19, 355
2, 1, 355

∴ So the LCM of the given numbers is 2 x 19 x 2 x 1 x 355 = 26980

Least Common Multiple of 76,38,355 with GCF Formula

Least Common Multiple of 76,38,355 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 76,38,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,38,355) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(76,38,355) x common factors =1 x 38 = 38

LCM(76,38,355) = ( 76 × 38 × 355 ) / 38

LCM(76,38,355) = 1025240 / 38

LCM(76,38,355) = 26980


Lets's calculate GCF of 72,82,252

2 72, 82, 252
36, 41, 126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26980/2

Therefore the LCM of Fractions 76/72,38/82,355/252 is 13490

Greatest Common Factor of 72,82,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,82,252 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 72,82,252 . The biggest common factor number is the GCF number.
So the greatest common factor 72,82,252 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 76/72, 38/82, 355/252

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 76/72, 38/82, 355/252?

Answer: LCM of Numerators as per given numbers 76/72, 38/82, 355/252 is

LCM of Numerators i.e. for 76,38,355 is 26980

GCF of denominators i.e. for 72,82,252 is 2.

Thus, LCM of Fractions is 13490.Finally, LCM of Fractions for 76/72, 38/82, 355/252 is 13490.