Least Common Multiple of 180/31, 201/77, 494/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 180/31, 201/77, 494/973 quickly i.e. 2978820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 180/31, 201/77, 494/973 is 2978820.

LCM(180/31, 201/77, 494/973) = 2978820

LCM of 180/31, 201/77, 494/973

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 180/31,201/77,494/973

Given numbers are 180/31,201/77,494/973

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 180,201,494

Least Common Multiple of Numerators i.e. LCM of 180,201,494 is 2978820.

GCF of Denominators means GCF of 31,77,973 as per the given fractions.

GCF of 31,77,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 180,201,494

LCM of Fractions 180/31,201/77,494/973 is 2978820

2 180, 201, 494
3 90, 201, 247
30, 67, 247

∴ So the LCM of the given numbers is 2 x 3 x 30 x 67 x 247 = 2978820

Least Common Multiple of 180,201,494 with GCF Formula

Least Common Multiple of 180,201,494 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 180,201,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,201,494) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(180,201,494) x common factors =1 x 6 = 6

LCM(180,201,494) = ( 180 × 201 × 494 ) / 6

LCM(180,201,494) = 17872920 / 6

LCM(180,201,494) = 2978820


Lets's calculate GCF of 31,77,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2978820/1

Therefore the LCM of Fractions 180/31,201/77,494/973 is 2978820

Greatest Common Factor of 31,77,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,77,973 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 77

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

1,7,11,77

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 31,77,973 . The biggest common factor number is the GCF number.
So the greatest common factor 31,77,973 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 180/31, 201/77, 494/973

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 180/31, 201/77, 494/973?

Answer: LCM of Numerators as per given numbers 180/31, 201/77, 494/973 is

LCM of Numerators i.e. for 180,201,494 is 2978820

GCF of denominators i.e. for 31,77,973 is 1.

Thus, LCM of Fractions is 2978820.Finally, LCM of Fractions for 180/31, 201/77, 494/973 is 2978820.