Least Common Multiple of 20/177, 2176/9780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/177, 2176/9780 quickly i.e. 10880/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/177, 2176/9780 is 10880/3.

LCM(20/177, 2176/9780) = 10880/3

LCM of 20/177, 2176/9780

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 20/177,2176/9780

Given numbers are 20/177,2176/9780

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 20,2176

Least Common Multiple of Numerators i.e. LCM of 20,2176 is 10880.

GCF of Denominators means GCF of 177,9780 as per the given fractions.

GCF of 177,9780 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,2176

LCM of Fractions 20/177,2176/9780 is 10880/3

2 20, 2176
2 10, 1088
5, 544

∴ So the LCM of the given numbers is 2 x 2 x 5 x 544 = 10880

Least Common Multiple of 20,2176 with GCF Formula

Least Common Multiple of 20,2176 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 20,2176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,2176) = 4

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

GCF(20,2176) x common factors =4 x 1 = 4

LCM(20,2176) = ( 20 × 2176 ) / 4

LCM(20,2176) = 43520 / 4

LCM(20,2176) = 10880


Lets's calculate GCF of 177,9780

3 177, 9780
59, 3260

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10880/3

Therefore the LCM of Fractions 20/177,2176/9780 is 10880/3

Greatest Common Factor of 177,9780 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,9780 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 9780

List of positive integer factors of 9780 that divides 9780 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780

Greatest Common Factor

We found the factors 177,9780 . The biggest common factor number is the GCF number.
So the greatest common factor 177,9780 is 3.


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 20/177, 2176/9780

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 20/177, 2176/9780?

Answer: LCM of Numerators as per given numbers 20/177, 2176/9780 is

LCM of Numerators i.e. for 20,2176 is 10880

GCF of denominators i.e. for 177,9780 is 3.

Thus, LCM of Fractions is 10880/3.Finally, LCM of Fractions for 20/177, 2176/9780 is 10880/3.