Least Common Multiple of 21/897, 2620/4991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 21/897, 2620/4991 quickly i.e. 55020/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/897, 2620/4991 is 55020/23.

LCM(21/897, 2620/4991) = 55020/23

LCM of 21/897, 2620/4991

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 21/897,2620/4991

Given numbers are 21/897,2620/4991

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 21,2620

Least Common Multiple of Numerators i.e. LCM of 21,2620 is 55020.

GCF of Denominators means GCF of 897,4991 as per the given fractions.

GCF of 897,4991 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,2620

LCM of Fractions 21/897,2620/4991 is 55020/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 55020

Least Common Multiple of 21,2620 with GCF Formula

Least Common Multiple of 21,2620 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 21,2620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,2620) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(21,2620) x common factors =1 x 1 = 1

LCM(21,2620) = ( 21 × 2620 ) / 1

LCM(21,2620) = 55020 / 1

LCM(21,2620) = 55020


Lets's calculate GCF of 897,4991

23 897, 4991
39, 217

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55020/23

Therefore the LCM of Fractions 21/897,2620/4991 is 55020/23

Greatest Common Factor of 897,4991 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,4991 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 4991

List of positive integer factors of 4991 that divides 4991 without a remainder.

1,7,23,31,161,217,713,4991

Greatest Common Factor

We found the factors 897,4991 . The biggest common factor number is the GCF number.
So the greatest common factor 897,4991 is 23.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 21/897, 2620/4991

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 21/897, 2620/4991?

Answer: LCM of Numerators as per given numbers 21/897, 2620/4991 is

LCM of Numerators i.e. for 21,2620 is 55020

GCF of denominators i.e. for 897,4991 is 23.

Thus, LCM of Fractions is 55020/23.Finally, LCM of Fractions for 21/897, 2620/4991 is 55020/23.