Least Common Multiple of 77/20, 21/98, 36/67, 21/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/20, 21/98, 36/67, 21/790 quickly i.e. 2772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/20, 21/98, 36/67, 21/790 is 2772.

LCM(77/20, 21/98, 36/67, 21/790) = 2772

LCM of 77/20, 21/98, 36/67, 21/790

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 77/20,21/98,36/67,21/790

Given numbers are 77/20,21/98,36/67,21/790

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 77,21,36,21

Least Common Multiple of Numerators i.e. LCM of 77,21,36,21 is 2772.

GCF of Denominators means GCF of 20,98,67,790 as per the given fractions.

GCF of 20,98,67,790 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,21,36,21

LCM of Fractions 77/20,21/98,36/67,21/790 is 2772

3 77, 21, 36, 21
7 77, 7, 12, 7
11, 1, 12, 1

∴ So the LCM of the given numbers is 3 x 7 x 11 x 1 x 12 x 1 = 2772

Least Common Multiple of 77,21,36,21 with GCF Formula

Least Common Multiple of 77,21,36,21 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 77,21,36,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,21,36,21) = 1

common factors(in case of two or more numbers have common factors) = 441

GCF(77,21,36,21) x common factors =1 x 441 = 441

LCM(77,21,36,21) = ( 77 × 21 × 36 × 21 ) / 441

LCM(77,21,36,21) = 1222452 / 441

LCM(77,21,36,21) = 2772


Lets's calculate GCF of 20,98,67,790

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2772/1

Therefore the LCM of Fractions 77/20,21/98,36/67,21/790 is 2772

Greatest Common Factor of 20,98,67,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,98,67,790 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 20,98,67,790 . The biggest common factor number is the GCF number.
So the greatest common factor 20,98,67,790 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 77/20, 21/98, 36/67, 21/790

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 77/20, 21/98, 36/67, 21/790?

Answer: LCM of Numerators as per given numbers 77/20, 21/98, 36/67, 21/790 is

LCM of Numerators i.e. for 77,21,36,21 is 2772

GCF of denominators i.e. for 20,98,67,790 is 1.

Thus, LCM of Fractions is 2772.Finally, LCM of Fractions for 77/20, 21/98, 36/67, 21/790 is 2772.