Least Common Multiple of 108/22, 693/84, 820/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/22, 693/84, 820/135 quickly i.e. 1704780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/22, 693/84, 820/135 is 1704780.

LCM(108/22, 693/84, 820/135) = 1704780

LCM of 108/22, 693/84, 820/135

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 108/22,693/84,820/135

Given numbers are 108/22,693/84,820/135

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 108,693,820

Least Common Multiple of Numerators i.e. LCM of 108,693,820 is 1704780.

GCF of Denominators means GCF of 22,84,135 as per the given fractions.

GCF of 22,84,135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,693,820

LCM of Fractions 108/22,693/84,820/135 is 1704780

2 108, 693, 820
2 54, 693, 410
3 27, 693, 205
3 9, 231, 205
3, 77, 205

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 77 x 205 = 1704780

Least Common Multiple of 108,693,820 with GCF Formula

Least Common Multiple of 108,693,820 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 108,693,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,693,820) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(108,693,820) x common factors =1 x 36 = 36

LCM(108,693,820) = ( 108 × 693 × 820 ) / 36

LCM(108,693,820) = 61372080 / 36

LCM(108,693,820) = 1704780


Lets's calculate GCF of 22,84,135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1704780/1

Therefore the LCM of Fractions 108/22,693/84,820/135 is 1704780

Greatest Common Factor of 22,84,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,84,135 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

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 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 22,84,135 . The biggest common factor number is the GCF number.
So the greatest common factor 22,84,135 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 108/22, 693/84, 820/135

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 108/22, 693/84, 820/135?

Answer: LCM of Numerators as per given numbers 108/22, 693/84, 820/135 is

LCM of Numerators i.e. for 108,693,820 is 1704780

GCF of denominators i.e. for 22,84,135 is 1.

Thus, LCM of Fractions is 1704780.Finally, LCM of Fractions for 108/22, 693/84, 820/135 is 1704780.