Least Common Multiple of 64/82, 53/54, 79/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/82, 53/54, 79/827 quickly i.e. 267968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/82, 53/54, 79/827 is 267968.

LCM(64/82, 53/54, 79/827) = 267968

LCM of 64/82, 53/54, 79/827

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 64/82,53/54,79/827

Given numbers are 64/82,53/54,79/827

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 64,53,79

Least Common Multiple of Numerators i.e. LCM of 64,53,79 is 267968.

GCF of Denominators means GCF of 82,54,827 as per the given fractions.

GCF of 82,54,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,53,79

LCM of Fractions 64/82,53/54,79/827 is 267968

Given numbers has no common factors except 1. So, there LCM is their product i.e 267968

Least Common Multiple of 64,53,79 with GCF Formula

Least Common Multiple of 64,53,79 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 64,53,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,53,79) = 1

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

GCF(64,53,79) x common factors =1 x 1 = 1

LCM(64,53,79) = ( 64 × 53 × 79 ) / 1

LCM(64,53,79) = 267968 / 1

LCM(64,53,79) = 267968


Lets's calculate GCF of 82,54,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267968/1

Therefore the LCM of Fractions 64/82,53/54,79/827 is 267968

Greatest Common Factor of 82,54,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,54,827 By Matching Biggest Common Factor Method

Factors of 82

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

1,2,41,82

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 82,54,827 . The biggest common factor number is the GCF number.
So the greatest common factor 82,54,827 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 64/82, 53/54, 79/827

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 64/82, 53/54, 79/827?

Answer: LCM of Numerators as per given numbers 64/82, 53/54, 79/827 is

LCM of Numerators i.e. for 64,53,79 is 267968

GCF of denominators i.e. for 82,54,827 is 1.

Thus, LCM of Fractions is 267968.Finally, LCM of Fractions for 64/82, 53/54, 79/827 is 267968.