Least Common Multiple of 76/12, 382/43, 357/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/12, 382/43, 357/527 quickly i.e. 5182212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/12, 382/43, 357/527 is 5182212.

LCM(76/12, 382/43, 357/527) = 5182212

LCM of 76/12, 382/43, 357/527

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 76/12,382/43,357/527

Given numbers are 76/12,382/43,357/527

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 76,382,357

Least Common Multiple of Numerators i.e. LCM of 76,382,357 is 5182212.

GCF of Denominators means GCF of 12,43,527 as per the given fractions.

GCF of 12,43,527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,382,357

LCM of Fractions 76/12,382/43,357/527 is 5182212

2 76, 382, 357
38, 191, 357

∴ So the LCM of the given numbers is 2 x 38 x 191 x 357 = 5182212

Least Common Multiple of 76,382,357 with GCF Formula

Least Common Multiple of 76,382,357 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 76,382,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,382,357) = 1

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

GCF(76,382,357) x common factors =1 x 2 = 2

LCM(76,382,357) = ( 76 × 382 × 357 ) / 2

LCM(76,382,357) = 10364424 / 2

LCM(76,382,357) = 5182212


Lets's calculate GCF of 12,43,527

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5182212/1

Therefore the LCM of Fractions 76/12,382/43,357/527 is 5182212

Greatest Common Factor of 12,43,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,43,527 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 12,43,527 . The biggest common factor number is the GCF number.
So the greatest common factor 12,43,527 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 76/12, 382/43, 357/527

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 76/12, 382/43, 357/527?

Answer: LCM of Numerators as per given numbers 76/12, 382/43, 357/527 is

LCM of Numerators i.e. for 76,382,357 is 5182212

GCF of denominators i.e. for 12,43,527 is 1.

Thus, LCM of Fractions is 5182212.Finally, LCM of Fractions for 76/12, 382/43, 357/527 is 5182212.