Least Common Multiple of 87/155, 2121/6516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/155, 2121/6516 quickly i.e. 61509 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/155, 2121/6516 is 61509.

LCM(87/155, 2121/6516) = 61509

LCM of 87/155, 2121/6516

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 87/155,2121/6516

Given numbers are 87/155,2121/6516

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 87,2121

Least Common Multiple of Numerators i.e. LCM of 87,2121 is 61509.

GCF of Denominators means GCF of 155,6516 as per the given fractions.

GCF of 155,6516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,2121

LCM of Fractions 87/155,2121/6516 is 61509

3 87, 2121
29, 707

∴ So the LCM of the given numbers is 3 x 29 x 707 = 61509

Least Common Multiple of 87,2121 with GCF Formula

Least Common Multiple of 87,2121 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 87,2121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,2121) = 3

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

GCF(87,2121) x common factors =3 x 1 = 3

LCM(87,2121) = ( 87 × 2121 ) / 3

LCM(87,2121) = 184527 / 3

LCM(87,2121) = 61509


Lets's calculate GCF of 155,6516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61509/1

Therefore the LCM of Fractions 87/155,2121/6516 is 61509

Greatest Common Factor of 155,6516 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,6516 By Matching Biggest Common Factor Method

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 6516

List of positive integer factors of 6516 that divides 6516 without a remainder.

1,2,3,4,6,9,12,18,36,181,362,543,724,1086,1629,2172,3258,6516

Greatest Common Factor

We found the factors 155,6516 . The biggest common factor number is the GCF number.
So the greatest common factor 155,6516 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 87/155, 2121/6516

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 87/155, 2121/6516?

Answer: LCM of Numerators as per given numbers 87/155, 2121/6516 is

LCM of Numerators i.e. for 87,2121 is 61509

GCF of denominators i.e. for 155,6516 is 1.

Thus, LCM of Fractions is 61509.Finally, LCM of Fractions for 87/155, 2121/6516 is 61509.