Least Common Multiple of 55/84, 55/22, 91/29, 20/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/84, 55/22, 91/29, 20/999 quickly i.e. 20020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/84, 55/22, 91/29, 20/999 is 20020.

LCM(55/84, 55/22, 91/29, 20/999) = 20020

LCM of 55/84, 55/22, 91/29, 20/999

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 55/84,55/22,91/29,20/999

Given numbers are 55/84,55/22,91/29,20/999

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 55,55,91,20

Least Common Multiple of Numerators i.e. LCM of 55,55,91,20 is 20020.

GCF of Denominators means GCF of 84,22,29,999 as per the given fractions.

GCF of 84,22,29,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,55,91,20

LCM of Fractions 55/84,55/22,91/29,20/999 is 20020

5 55, 55, 91, 20
11 11, 11, 91, 4
1, 1, 91, 4

∴ So the LCM of the given numbers is 5 x 11 x 1 x 1 x 91 x 4 = 20020

Least Common Multiple of 55,55,91,20 with GCF Formula

Least Common Multiple of 55,55,91,20 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 55,55,91,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,55,91,20) = 1

common factors(in case of two or more numbers have common factors) = 275

GCF(55,55,91,20) x common factors =1 x 275 = 275

LCM(55,55,91,20) = ( 55 × 55 × 91 × 20 ) / 275

LCM(55,55,91,20) = 5505500 / 275

LCM(55,55,91,20) = 20020


Lets's calculate GCF of 84,22,29,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20020/1

Therefore the LCM of Fractions 55/84,55/22,91/29,20/999 is 20020

Greatest Common Factor of 84,22,29,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,22,29,999 By Matching Biggest Common Factor Method

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 22

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

1,2,11,22

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 84,22,29,999 . The biggest common factor number is the GCF number.
So the greatest common factor 84,22,29,999 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 55/84, 55/22, 91/29, 20/999

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 55/84, 55/22, 91/29, 20/999?

Answer: LCM of Numerators as per given numbers 55/84, 55/22, 91/29, 20/999 is

LCM of Numerators i.e. for 55,55,91,20 is 20020

GCF of denominators i.e. for 84,22,29,999 is 1.

Thus, LCM of Fractions is 20020.Finally, LCM of Fractions for 55/84, 55/22, 91/29, 20/999 is 20020.