Least Common Multiple of 64/820, 1251/8744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/820, 1251/8744 quickly i.e. 20016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/820, 1251/8744 is 20016.

LCM(64/820, 1251/8744) = 20016

LCM of 64/820, 1251/8744

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 64/820,1251/8744

Given numbers are 64/820,1251/8744

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 64,1251

Least Common Multiple of Numerators i.e. LCM of 64,1251 is 80064.

GCF of Denominators means GCF of 820,8744 as per the given fractions.

GCF of 820,8744 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,1251

LCM of Fractions 64/820,1251/8744 is 20016

Given numbers has no common factors except 1. So, there LCM is their product i.e 80064

Least Common Multiple of 64,1251 with GCF Formula

Least Common Multiple of 64,1251 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 64,1251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,1251) = 1

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

GCF(64,1251) x common factors =1 x 1 = 1

LCM(64,1251) = ( 64 × 1251 ) / 1

LCM(64,1251) = 80064 / 1

LCM(64,1251) = 80064


Lets's calculate GCF of 820,8744

2 820, 8744
2 410, 4372
205, 2186

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80064/4

Therefore the LCM of Fractions 64/820,1251/8744 is 20016

Greatest Common Factor of 820,8744 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,8744 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 8744

List of positive integer factors of 8744 that divides 8744 without a remainder.

1,2,4,8,1093,2186,4372,8744

Greatest Common Factor

We found the factors 820,8744 . The biggest common factor number is the GCF number.
So the greatest common factor 820,8744 is 4.


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 64/820, 1251/8744

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 64/820, 1251/8744?

Answer: LCM of Numerators as per given numbers 64/820, 1251/8744 is

LCM of Numerators i.e. for 64,1251 is 80064

GCF of denominators i.e. for 820,8744 is 4.

Thus, LCM of Fractions is 20016.Finally, LCM of Fractions for 64/820, 1251/8744 is 20016.