Least Common Multiple of 20/18, 42/84, 77/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/18, 42/84, 77/564 quickly i.e. 770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/18, 42/84, 77/564 is 770.

LCM(20/18, 42/84, 77/564) = 770

LCM of 20/18, 42/84, 77/564

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 20/18,42/84,77/564

Given numbers are 20/18,42/84,77/564

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 20,42,77

Least Common Multiple of Numerators i.e. LCM of 20,42,77 is 4620.

GCF of Denominators means GCF of 18,84,564 as per the given fractions.

GCF of 18,84,564 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,42,77

LCM of Fractions 20/18,42/84,77/564 is 770

2 20, 42, 77
7 10, 21, 77
10, 3, 11

∴ So the LCM of the given numbers is 2 x 7 x 10 x 3 x 11 = 4620

Least Common Multiple of 20,42,77 with GCF Formula

Least Common Multiple of 20,42,77 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 20,42,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,42,77) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(20,42,77) x common factors =1 x 14 = 14

LCM(20,42,77) = ( 20 × 42 × 77 ) / 14

LCM(20,42,77) = 64680 / 14

LCM(20,42,77) = 4620


Lets's calculate GCF of 18,84,564

2 18, 84, 564
3 9, 42, 282
3, 14, 94

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4620/6

Therefore the LCM of Fractions 20/18,42/84,77/564 is 770

Greatest Common Factor of 18,84,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,84,564 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 18,84,564 . The biggest common factor number is the GCF number.
So the greatest common factor 18,84,564 is 6.


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 20/18, 42/84, 77/564

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 20/18, 42/84, 77/564?

Answer: LCM of Numerators as per given numbers 20/18, 42/84, 77/564 is

LCM of Numerators i.e. for 20,42,77 is 4620

GCF of denominators i.e. for 18,84,564 is 6.

Thus, LCM of Fractions is 770.Finally, LCM of Fractions for 20/18, 42/84, 77/564 is 770.