Least Common Multiple of 21/951, 1999/1941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/951, 1999/1941 quickly i.e. 13993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/951, 1999/1941 is 13993.

LCM(21/951, 1999/1941) = 13993

LCM of 21/951, 1999/1941

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 21/951,1999/1941

Given numbers are 21/951,1999/1941

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 21,1999

Least Common Multiple of Numerators i.e. LCM of 21,1999 is 41979.

GCF of Denominators means GCF of 951,1941 as per the given fractions.

GCF of 951,1941 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,1999

LCM of Fractions 21/951,1999/1941 is 13993

Given numbers has no common factors except 1. So, there LCM is their product i.e 41979

Least Common Multiple of 21,1999 with GCF Formula

Least Common Multiple of 21,1999 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 21,1999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,1999) = 1

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

GCF(21,1999) x common factors =1 x 1 = 1

LCM(21,1999) = ( 21 × 1999 ) / 1

LCM(21,1999) = 41979 / 1

LCM(21,1999) = 41979


Lets's calculate GCF of 951,1941

3 951, 1941
317, 647

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41979/3

Therefore the LCM of Fractions 21/951,1999/1941 is 13993

Greatest Common Factor of 951,1941 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,1941 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 1941

List of positive integer factors of 1941 that divides 1941 without a remainder.

1,3,647,1941

Greatest Common Factor

We found the factors 951,1941 . The biggest common factor number is the GCF number.
So the greatest common factor 951,1941 is 3.


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 21/951, 1999/1941

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 21/951, 1999/1941?

Answer: LCM of Numerators as per given numbers 21/951, 1999/1941 is

LCM of Numerators i.e. for 21,1999 is 41979

GCF of denominators i.e. for 951,1941 is 3.

Thus, LCM of Fractions is 13993.Finally, LCM of Fractions for 21/951, 1999/1941 is 13993.