Least Common Multiple of 21/65, 78/79, 251/881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 21/65, 78/79, 251/881 quickly i.e. 137046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/65, 78/79, 251/881 is 137046.

LCM(21/65, 78/79, 251/881) = 137046

LCM of 21/65, 78/79, 251/881

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 21/65,78/79,251/881

Given numbers are 21/65,78/79,251/881

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 21,78,251

Least Common Multiple of Numerators i.e. LCM of 21,78,251 is 137046.

GCF of Denominators means GCF of 65,79,881 as per the given fractions.

GCF of 65,79,881 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,78,251

LCM of Fractions 21/65,78/79,251/881 is 137046

3 21, 78, 251
7, 26, 251

∴ So the LCM of the given numbers is 3 x 7 x 26 x 251 = 137046

Least Common Multiple of 21,78,251 with GCF Formula

Least Common Multiple of 21,78,251 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 21,78,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,78,251) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,78,251) x common factors =1 x 3 = 3

LCM(21,78,251) = ( 21 × 78 × 251 ) / 3

LCM(21,78,251) = 411138 / 3

LCM(21,78,251) = 137046


Lets's calculate GCF of 65,79,881

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137046/1

Therefore the LCM of Fractions 21/65,78/79,251/881 is 137046

Greatest Common Factor of 65,79,881 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,79,881 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Greatest Common Factor

We found the factors 65,79,881 . The biggest common factor number is the GCF number.
So the greatest common factor 65,79,881 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 21/65, 78/79, 251/881

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 21/65, 78/79, 251/881?

Answer: LCM of Numerators as per given numbers 21/65, 78/79, 251/881 is

LCM of Numerators i.e. for 21,78,251 is 137046

GCF of denominators i.e. for 65,79,881 is 1.

Thus, LCM of Fractions is 137046.Finally, LCM of Fractions for 21/65, 78/79, 251/881 is 137046.