Least Common Multiple of 82/159, 28/402, 468/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/159, 28/402, 468/657 quickly i.e. 44772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/159, 28/402, 468/657 is 44772.

LCM(82/159, 28/402, 468/657) = 44772

LCM of 82/159, 28/402, 468/657

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 82/159,28/402,468/657

Given numbers are 82/159,28/402,468/657

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 82,28,468

Least Common Multiple of Numerators i.e. LCM of 82,28,468 is 134316.

GCF of Denominators means GCF of 159,402,657 as per the given fractions.

GCF of 159,402,657 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,28,468

LCM of Fractions 82/159,28/402,468/657 is 44772

2 82, 28, 468
2 41, 14, 234
41, 7, 117

∴ So the LCM of the given numbers is 2 x 2 x 41 x 7 x 117 = 134316

Least Common Multiple of 82,28,468 with GCF Formula

Least Common Multiple of 82,28,468 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 82,28,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,28,468) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(82,28,468) x common factors =2 x 4 = 8

LCM(82,28,468) = ( 82 × 28 × 468 ) / 8

LCM(82,28,468) = 1074528 / 8

LCM(82,28,468) = 134316


Lets's calculate GCF of 159,402,657

3 159, 402, 657
53, 134, 219

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134316/3

Therefore the LCM of Fractions 82/159,28/402,468/657 is 44772

Greatest Common Factor of 159,402,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,402,657 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 159,402,657 . The biggest common factor number is the GCF number.
So the greatest common factor 159,402,657 is 3.


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 82/159, 28/402, 468/657

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 82/159, 28/402, 468/657?

Answer: LCM of Numerators as per given numbers 82/159, 28/402, 468/657 is

LCM of Numerators i.e. for 82,28,468 is 134316

GCF of denominators i.e. for 159,402,657 is 3.

Thus, LCM of Fractions is 44772.Finally, LCM of Fractions for 82/159, 28/402, 468/657 is 44772.