Least Common Multiple of 500/64, 971/2659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/64, 971/2659 quickly i.e. 485500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/64, 971/2659 is 485500.

LCM(500/64, 971/2659) = 485500

LCM of 500/64, 971/2659

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 500/64,971/2659

Given numbers are 500/64,971/2659

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 500,971

Least Common Multiple of Numerators i.e. LCM of 500,971 is 485500.

GCF of Denominators means GCF of 64,2659 as per the given fractions.

GCF of 64,2659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,971

LCM of Fractions 500/64,971/2659 is 485500

Given numbers has no common factors except 1. So, there LCM is their product i.e 485500

Least Common Multiple of 500,971 with GCF Formula

Least Common Multiple of 500,971 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 500,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,971) = 1

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

GCF(500,971) x common factors =1 x 1 = 1

LCM(500,971) = ( 500 × 971 ) / 1

LCM(500,971) = 485500 / 1

LCM(500,971) = 485500


Lets's calculate GCF of 64,2659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 485500/1

Therefore the LCM of Fractions 500/64,971/2659 is 485500

Greatest Common Factor of 64,2659 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,2659 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 2659

List of positive integer factors of 2659 that divides 2659 without a remainder.

1,2659

Greatest Common Factor

We found the factors 64,2659 . The biggest common factor number is the GCF number.
So the greatest common factor 64,2659 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 500/64, 971/2659

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 500/64, 971/2659?

Answer: LCM of Numerators as per given numbers 500/64, 971/2659 is

LCM of Numerators i.e. for 500,971 is 485500

GCF of denominators i.e. for 64,2659 is 1.

Thus, LCM of Fractions is 485500.Finally, LCM of Fractions for 500/64, 971/2659 is 485500.