Least Common Multiple of 527/83, 768/79, 741/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 527/83, 768/79, 741/132 quickly i.e. 99969792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 527/83, 768/79, 741/132 is 99969792.

LCM(527/83, 768/79, 741/132) = 99969792

LCM of 527/83, 768/79, 741/132

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 527/83,768/79,741/132

Given numbers are 527/83,768/79,741/132

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 527,768,741

Least Common Multiple of Numerators i.e. LCM of 527,768,741 is 99969792.

GCF of Denominators means GCF of 83,79,132 as per the given fractions.

GCF of 83,79,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 527,768,741

LCM of Fractions 527/83,768/79,741/132 is 99969792

3 527, 768, 741
527, 256, 247

∴ So the LCM of the given numbers is 3 x 527 x 256 x 247 = 99969792

Least Common Multiple of 527,768,741 with GCF Formula

Least Common Multiple of 527,768,741 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 527,768,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,768,741) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(527,768,741) x common factors =1 x 3 = 3

LCM(527,768,741) = ( 527 × 768 × 741 ) / 3

LCM(527,768,741) = 299909376 / 3

LCM(527,768,741) = 99969792


Lets's calculate GCF of 83,79,132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99969792/1

Therefore the LCM of Fractions 527/83,768/79,741/132 is 99969792

Greatest Common Factor of 83,79,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,79,132 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 83,79,132 . The biggest common factor number is the GCF number.
So the greatest common factor 83,79,132 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 527/83, 768/79, 741/132

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 527/83, 768/79, 741/132?

Answer: LCM of Numerators as per given numbers 527/83, 768/79, 741/132 is

LCM of Numerators i.e. for 527,768,741 is 99969792

GCF of denominators i.e. for 83,79,132 is 1.

Thus, LCM of Fractions is 99969792.Finally, LCM of Fractions for 527/83, 768/79, 741/132 is 99969792.