Least Common Multiple of 180/642, 2901/7315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 180/642, 2901/7315 quickly i.e. 174060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 180/642, 2901/7315 is 174060.

LCM(180/642, 2901/7315) = 174060

LCM of 180/642, 2901/7315

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 180/642,2901/7315

Given numbers are 180/642,2901/7315

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 180,2901

Least Common Multiple of Numerators i.e. LCM of 180,2901 is 174060.

GCF of Denominators means GCF of 642,7315 as per the given fractions.

GCF of 642,7315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 180,2901

LCM of Fractions 180/642,2901/7315 is 174060

3 180, 2901
60, 967

∴ So the LCM of the given numbers is 3 x 60 x 967 = 174060

Least Common Multiple of 180,2901 with GCF Formula

Least Common Multiple of 180,2901 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 180,2901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,2901) = 3

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

GCF(180,2901) x common factors =3 x 1 = 3

LCM(180,2901) = ( 180 × 2901 ) / 3

LCM(180,2901) = 522180 / 3

LCM(180,2901) = 174060


Lets's calculate GCF of 642,7315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174060/1

Therefore the LCM of Fractions 180/642,2901/7315 is 174060

Greatest Common Factor of 642,7315 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,7315 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 7315

List of positive integer factors of 7315 that divides 7315 without a remainder.

1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315

Greatest Common Factor

We found the factors 642,7315 . The biggest common factor number is the GCF number.
So the greatest common factor 642,7315 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 180/642, 2901/7315

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 180/642, 2901/7315?

Answer: LCM of Numerators as per given numbers 180/642, 2901/7315 is

LCM of Numerators i.e. for 180,2901 is 174060

GCF of denominators i.e. for 642,7315 is 1.

Thus, LCM of Fractions is 174060.Finally, LCM of Fractions for 180/642, 2901/7315 is 174060.