Least Common Multiple of 206/36, 760/37, 977/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 206/36, 760/37, 977/491 quickly i.e. 76479560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 206/36, 760/37, 977/491 is 76479560.

LCM(206/36, 760/37, 977/491) = 76479560

LCM of 206/36, 760/37, 977/491

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 206/36,760/37,977/491

Given numbers are 206/36,760/37,977/491

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 206,760,977

Least Common Multiple of Numerators i.e. LCM of 206,760,977 is 76479560.

GCF of Denominators means GCF of 36,37,491 as per the given fractions.

GCF of 36,37,491 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 206,760,977

LCM of Fractions 206/36,760/37,977/491 is 76479560

2 206, 760, 977
103, 380, 977

∴ So the LCM of the given numbers is 2 x 103 x 380 x 977 = 76479560

Least Common Multiple of 206,760,977 with GCF Formula

Least Common Multiple of 206,760,977 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 206,760,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,760,977) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(206,760,977) x common factors =1 x 2 = 2

LCM(206,760,977) = ( 206 × 760 × 977 ) / 2

LCM(206,760,977) = 152959120 / 2

LCM(206,760,977) = 76479560


Lets's calculate GCF of 36,37,491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76479560/1

Therefore the LCM of Fractions 206/36,760/37,977/491 is 76479560

Greatest Common Factor of 36,37,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,37,491 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors 36,37,491 . The biggest common factor number is the GCF number.
So the greatest common factor 36,37,491 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 206/36, 760/37, 977/491

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 206/36, 760/37, 977/491?

Answer: LCM of Numerators as per given numbers 206/36, 760/37, 977/491 is

LCM of Numerators i.e. for 206,760,977 is 76479560

GCF of denominators i.e. for 36,37,491 is 1.

Thus, LCM of Fractions is 76479560.Finally, LCM of Fractions for 206/36, 760/37, 977/491 is 76479560.