Least Common Multiple of 77/63, 20/71, 990/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/63, 20/71, 990/144 quickly i.e. 13860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/63, 20/71, 990/144 is 13860.

LCM(77/63, 20/71, 990/144) = 13860

LCM of 77/63, 20/71, 990/144

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 77/63,20/71,990/144

Given numbers are 77/63,20/71,990/144

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 77,20,990

Least Common Multiple of Numerators i.e. LCM of 77,20,990 is 13860.

GCF of Denominators means GCF of 63,71,144 as per the given fractions.

GCF of 63,71,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,20,990

LCM of Fractions 77/63,20/71,990/144 is 13860

2 77, 20, 990
5 77, 10, 495
11 77, 2, 99
7, 2, 9

∴ So the LCM of the given numbers is 2 x 5 x 11 x 7 x 2 x 9 = 13860

Least Common Multiple of 77,20,990 with GCF Formula

Least Common Multiple of 77,20,990 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 77,20,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,20,990) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(77,20,990) x common factors =1 x 110 = 110

LCM(77,20,990) = ( 77 × 20 × 990 ) / 110

LCM(77,20,990) = 1524600 / 110

LCM(77,20,990) = 13860


Lets's calculate GCF of 63,71,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13860/1

Therefore the LCM of Fractions 77/63,20/71,990/144 is 13860

Greatest Common Factor of 63,71,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,71,144 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 63,71,144 . The biggest common factor number is the GCF number.
So the greatest common factor 63,71,144 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 77/63, 20/71, 990/144

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 77/63, 20/71, 990/144?

Answer: LCM of Numerators as per given numbers 77/63, 20/71, 990/144 is

LCM of Numerators i.e. for 77,20,990 is 13860

GCF of denominators i.e. for 63,71,144 is 1.

Thus, LCM of Fractions is 13860.Finally, LCM of Fractions for 77/63, 20/71, 990/144 is 13860.