Least Common Multiple of 87/78, 657/20, 525/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/78, 657/20, 525/153 quickly i.e. 3334275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/78, 657/20, 525/153 is 3334275.

LCM(87/78, 657/20, 525/153) = 3334275

LCM of 87/78, 657/20, 525/153

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 87/78,657/20,525/153

Given numbers are 87/78,657/20,525/153

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 87,657,525

Least Common Multiple of Numerators i.e. LCM of 87,657,525 is 3334275.

GCF of Denominators means GCF of 78,20,153 as per the given fractions.

GCF of 78,20,153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,657,525

LCM of Fractions 87/78,657/20,525/153 is 3334275

3 87, 657, 525
29, 219, 175

∴ So the LCM of the given numbers is 3 x 29 x 219 x 175 = 3334275

Least Common Multiple of 87,657,525 with GCF Formula

Least Common Multiple of 87,657,525 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 87,657,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,657,525) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(87,657,525) x common factors =3 x 3 = 9

LCM(87,657,525) = ( 87 × 657 × 525 ) / 9

LCM(87,657,525) = 30008475 / 9

LCM(87,657,525) = 3334275


Lets's calculate GCF of 78,20,153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3334275/1

Therefore the LCM of Fractions 87/78,657/20,525/153 is 3334275

Greatest Common Factor of 78,20,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,20,153 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 78,20,153 . The biggest common factor number is the GCF number.
So the greatest common factor 78,20,153 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 87/78, 657/20, 525/153

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 87/78, 657/20, 525/153?

Answer: LCM of Numerators as per given numbers 87/78, 657/20, 525/153 is

LCM of Numerators i.e. for 87,657,525 is 3334275

GCF of denominators i.e. for 78,20,153 is 1.

Thus, LCM of Fractions is 3334275.Finally, LCM of Fractions for 87/78, 657/20, 525/153 is 3334275.