Least Common Multiple of 82/95, 65/79, 66/57, 87/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/95, 65/79, 66/57, 87/426 quickly i.e. 5100810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/95, 65/79, 66/57, 87/426 is 5100810.

LCM(82/95, 65/79, 66/57, 87/426) = 5100810

LCM of 82/95, 65/79, 66/57, 87/426

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 82/95,65/79,66/57,87/426

Given numbers are 82/95,65/79,66/57,87/426

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 82,65,66,87

Least Common Multiple of Numerators i.e. LCM of 82,65,66,87 is 5100810.

GCF of Denominators means GCF of 95,79,57,426 as per the given fractions.

GCF of 95,79,57,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,65,66,87

LCM of Fractions 82/95,65/79,66/57,87/426 is 5100810

2 82, 65, 66, 87
3 41, 65, 33, 87
41, 65, 11, 29

∴ So the LCM of the given numbers is 2 x 3 x 41 x 65 x 11 x 29 = 5100810

Least Common Multiple of 82,65,66,87 with GCF Formula

Least Common Multiple of 82,65,66,87 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 82,65,66,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,65,66,87) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(82,65,66,87) x common factors =1 x 6 = 6

LCM(82,65,66,87) = ( 82 × 65 × 66 × 87 ) / 6

LCM(82,65,66,87) = 30604860 / 6

LCM(82,65,66,87) = 5100810


Lets's calculate GCF of 95,79,57,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5100810/1

Therefore the LCM of Fractions 82/95,65/79,66/57,87/426 is 5100810

Greatest Common Factor of 95,79,57,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,79,57,426 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 79

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

1,79

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 95,79,57,426 . The biggest common factor number is the GCF number.
So the greatest common factor 95,79,57,426 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 82/95, 65/79, 66/57, 87/426

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 82/95, 65/79, 66/57, 87/426?

Answer: LCM of Numerators as per given numbers 82/95, 65/79, 66/57, 87/426 is

LCM of Numerators i.e. for 82,65,66,87 is 5100810

GCF of denominators i.e. for 95,79,57,426 is 1.

Thus, LCM of Fractions is 5100810.Finally, LCM of Fractions for 82/95, 65/79, 66/57, 87/426 is 5100810.