Least Common Multiple of 987/15, 977/60, 203/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 987/15, 977/60, 203/252 quickly i.e. 9321557 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/15, 977/60, 203/252 is 9321557.

LCM(987/15, 977/60, 203/252) = 9321557

LCM of 987/15, 977/60, 203/252

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 987/15,977/60,203/252

Given numbers are 987/15,977/60,203/252

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 987,977,203

Least Common Multiple of Numerators i.e. LCM of 987,977,203 is 27964671.

GCF of Denominators means GCF of 15,60,252 as per the given fractions.

GCF of 15,60,252 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,977,203

LCM of Fractions 987/15,977/60,203/252 is 9321557

7 987, 977, 203
141, 977, 29

∴ So the LCM of the given numbers is 7 x 141 x 977 x 29 = 27964671

Least Common Multiple of 987,977,203 with GCF Formula

Least Common Multiple of 987,977,203 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 987,977,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,977,203) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(987,977,203) x common factors =1 x 7 = 7

LCM(987,977,203) = ( 987 × 977 × 203 ) / 7

LCM(987,977,203) = 195752697 / 7

LCM(987,977,203) = 27964671


Lets's calculate GCF of 15,60,252

3 15, 60, 252
5, 20, 84

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27964671/3

Therefore the LCM of Fractions 987/15,977/60,203/252 is 9321557

Greatest Common Factor of 15,60,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,60,252 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 15,60,252 . The biggest common factor number is the GCF number.
So the greatest common factor 15,60,252 is 3.


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 987/15, 977/60, 203/252

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 987/15, 977/60, 203/252?

Answer: LCM of Numerators as per given numbers 987/15, 977/60, 203/252 is

LCM of Numerators i.e. for 987,977,203 is 27964671

GCF of denominators i.e. for 15,60,252 is 3.

Thus, LCM of Fractions is 9321557.Finally, LCM of Fractions for 987/15, 977/60, 203/252 is 9321557.