Least Common Multiple of 21/910, 1748/9960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/910, 1748/9960 quickly i.e. 36708/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/910, 1748/9960 is 36708/10.

LCM(21/910, 1748/9960) = 36708/10

LCM of 21/910, 1748/9960

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 21/910,1748/9960

Given numbers are 21/910,1748/9960

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 21,1748

Least Common Multiple of Numerators i.e. LCM of 21,1748 is 36708.

GCF of Denominators means GCF of 910,9960 as per the given fractions.

GCF of 910,9960 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,1748

LCM of Fractions 21/910,1748/9960 is 36708/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 36708

Least Common Multiple of 21,1748 with GCF Formula

Least Common Multiple of 21,1748 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 21,1748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,1748) = 1

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

GCF(21,1748) x common factors =1 x 1 = 1

LCM(21,1748) = ( 21 × 1748 ) / 1

LCM(21,1748) = 36708 / 1

LCM(21,1748) = 36708


Lets's calculate GCF of 910,9960

2 910, 9960
5 455, 4980
91, 996

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36708/10

Therefore the LCM of Fractions 21/910,1748/9960 is 36708/10

Greatest Common Factor of 910,9960 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,9960 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 9960

List of positive integer factors of 9960 that divides 9960 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960

Greatest Common Factor

We found the factors 910,9960 . The biggest common factor number is the GCF number.
So the greatest common factor 910,9960 is 10.


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 21/910, 1748/9960

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 21/910, 1748/9960?

Answer: LCM of Numerators as per given numbers 21/910, 1748/9960 is

LCM of Numerators i.e. for 21,1748 is 36708

GCF of denominators i.e. for 910,9960 is 10.

Thus, LCM of Fractions is 36708/10.Finally, LCM of Fractions for 21/910, 1748/9960 is 36708/10.