Least Common Multiple of 21/35, 651/45, 546/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 21/35, 651/45, 546/936 quickly i.e. 16926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/35, 651/45, 546/936 is 16926.

LCM(21/35, 651/45, 546/936) = 16926

LCM of 21/35, 651/45, 546/936

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 21/35,651/45,546/936

Given numbers are 21/35,651/45,546/936

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 21,651,546

Least Common Multiple of Numerators i.e. LCM of 21,651,546 is 16926.

GCF of Denominators means GCF of 35,45,936 as per the given fractions.

GCF of 35,45,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,651,546

LCM of Fractions 21/35,651/45,546/936 is 16926

3 21, 651, 546
7 7, 217, 182
1, 31, 26

∴ So the LCM of the given numbers is 3 x 7 x 1 x 31 x 26 = 16926

Least Common Multiple of 21,651,546 with GCF Formula

Least Common Multiple of 21,651,546 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 21,651,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,651,546) = 21

common factors(in case of two or more numbers have common factors) = 21

GCF(21,651,546) x common factors =21 x 21 = 441

LCM(21,651,546) = ( 21 × 651 × 546 ) / 441

LCM(21,651,546) = 7464366 / 441

LCM(21,651,546) = 16926


Lets's calculate GCF of 35,45,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16926/1

Therefore the LCM of Fractions 21/35,651/45,546/936 is 16926

Greatest Common Factor of 35,45,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,45,936 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 35,45,936 . The biggest common factor number is the GCF number.
So the greatest common factor 35,45,936 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 21/35, 651/45, 546/936

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 21/35, 651/45, 546/936?

Answer: LCM of Numerators as per given numbers 21/35, 651/45, 546/936 is

LCM of Numerators i.e. for 21,651,546 is 16926

GCF of denominators i.e. for 35,45,936 is 1.

Thus, LCM of Fractions is 16926.Finally, LCM of Fractions for 21/35, 651/45, 546/936 is 16926.