Least Common Multiple of 252/76, 358/9212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/76, 358/9212 quickly i.e. 11277 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/76, 358/9212 is 11277.

LCM(252/76, 358/9212) = 11277

LCM of 252/76, 358/9212

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 252/76,358/9212

Given numbers are 252/76,358/9212

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 252,358

Least Common Multiple of Numerators i.e. LCM of 252,358 is 45108.

GCF of Denominators means GCF of 76,9212 as per the given fractions.

GCF of 76,9212 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,358

LCM of Fractions 252/76,358/9212 is 11277

2 252, 358
126, 179

∴ So the LCM of the given numbers is 2 x 126 x 179 = 45108

Least Common Multiple of 252,358 with GCF Formula

Least Common Multiple of 252,358 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 252,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,358) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(252,358) x common factors =2 x 1 = 2

LCM(252,358) = ( 252 × 358 ) / 2

LCM(252,358) = 90216 / 2

LCM(252,358) = 45108


Lets's calculate GCF of 76,9212

2 76, 9212
2 38, 4606
19, 2303

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45108/4

Therefore the LCM of Fractions 252/76,358/9212 is 11277

Greatest Common Factor of 76,9212 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,9212 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 9212

List of positive integer factors of 9212 that divides 9212 without a remainder.

1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212

Greatest Common Factor

We found the factors 76,9212 . The biggest common factor number is the GCF number.
So the greatest common factor 76,9212 is 4.


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 252/76, 358/9212

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 252/76, 358/9212?

Answer: LCM of Numerators as per given numbers 252/76, 358/9212 is

LCM of Numerators i.e. for 252,358 is 45108

GCF of denominators i.e. for 76,9212 is 4.

Thus, LCM of Fractions is 11277.Finally, LCM of Fractions for 252/76, 358/9212 is 11277.