Least Common Multiple of 20/386, 92/697, 977/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/386, 92/697, 977/181 quickly i.e. 449420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/386, 92/697, 977/181 is 449420.

LCM(20/386, 92/697, 977/181) = 449420

LCM of 20/386, 92/697, 977/181

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 20/386,92/697,977/181

Given numbers are 20/386,92/697,977/181

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 20,92,977

Least Common Multiple of Numerators i.e. LCM of 20,92,977 is 449420.

GCF of Denominators means GCF of 386,697,181 as per the given fractions.

GCF of 386,697,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,92,977

LCM of Fractions 20/386,92/697,977/181 is 449420

2 20, 92, 977
2 10, 46, 977
5, 23, 977

∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 977 = 449420

Least Common Multiple of 20,92,977 with GCF Formula

Least Common Multiple of 20,92,977 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 20,92,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,92,977) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(20,92,977) x common factors =1 x 4 = 4

LCM(20,92,977) = ( 20 × 92 × 977 ) / 4

LCM(20,92,977) = 1797680 / 4

LCM(20,92,977) = 449420


Lets's calculate GCF of 386,697,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449420/1

Therefore the LCM of Fractions 20/386,92/697,977/181 is 449420

Greatest Common Factor of 386,697,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,697,181 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 386,697,181 . The biggest common factor number is the GCF number.
So the greatest common factor 386,697,181 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 20/386, 92/697, 977/181

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 20/386, 92/697, 977/181?

Answer: LCM of Numerators as per given numbers 20/386, 92/697, 977/181 is

LCM of Numerators i.e. for 20,92,977 is 449420

GCF of denominators i.e. for 386,697,181 is 1.

Thus, LCM of Fractions is 449420.Finally, LCM of Fractions for 20/386, 92/697, 977/181 is 449420.