Least Common Multiple of 64/10, 87/28, 75/77, 80/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/10, 87/28, 75/77, 80/357 quickly i.e. 139200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/10, 87/28, 75/77, 80/357 is 139200.

LCM(64/10, 87/28, 75/77, 80/357) = 139200

LCM of 64/10, 87/28, 75/77, 80/357

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 64/10,87/28,75/77,80/357

Given numbers are 64/10,87/28,75/77,80/357

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 64,87,75,80

Least Common Multiple of Numerators i.e. LCM of 64,87,75,80 is 139200.

GCF of Denominators means GCF of 10,28,77,357 as per the given fractions.

GCF of 10,28,77,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,87,75,80

LCM of Fractions 64/10,87/28,75/77,80/357 is 139200

2 64, 87, 75, 80
2 32, 87, 75, 40
2 16, 87, 75, 20
2 8, 87, 75, 10
3 4, 87, 75, 5
5 4, 29, 25, 5
4, 29, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 4 x 29 x 1 x 5 = 139200

Least Common Multiple of 64,87,75,80 with GCF Formula

Least Common Multiple of 64,87,75,80 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 64,87,75,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,87,75,80) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(64,87,75,80) x common factors =1 x 240 = 240

LCM(64,87,75,80) = ( 64 × 87 × 75 × 80 ) / 240

LCM(64,87,75,80) = 33408000 / 240

LCM(64,87,75,80) = 139200


Lets's calculate GCF of 10,28,77,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139200/1

Therefore the LCM of Fractions 64/10,87/28,75/77,80/357 is 139200

Greatest Common Factor of 10,28,77,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,28,77,357 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 10,28,77,357 . The biggest common factor number is the GCF number.
So the greatest common factor 10,28,77,357 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 64/10, 87/28, 75/77, 80/357

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 64/10, 87/28, 75/77, 80/357?

Answer: LCM of Numerators as per given numbers 64/10, 87/28, 75/77, 80/357 is

LCM of Numerators i.e. for 64,87,75,80 is 139200

GCF of denominators i.e. for 10,28,77,357 is 1.

Thus, LCM of Fractions is 139200.Finally, LCM of Fractions for 64/10, 87/28, 75/77, 80/357 is 139200.