Least Common Multiple of 82/12, 76/26, 22/64, 63/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/12, 76/26, 22/64, 63/966 quickly i.e. 1079694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/12, 76/26, 22/64, 63/966 is 1079694.

LCM(82/12, 76/26, 22/64, 63/966) = 1079694

LCM of 82/12, 76/26, 22/64, 63/966

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 82/12,76/26,22/64,63/966

Given numbers are 82/12,76/26,22/64,63/966

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 82,76,22,63

Least Common Multiple of Numerators i.e. LCM of 82,76,22,63 is 2159388.

GCF of Denominators means GCF of 12,26,64,966 as per the given fractions.

GCF of 12,26,64,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,76,22,63

LCM of Fractions 82/12,76/26,22/64,63/966 is 1079694

2 82, 76, 22, 63
41, 38, 11, 63

∴ So the LCM of the given numbers is 2 x 41 x 38 x 11 x 63 = 2159388

Least Common Multiple of 82,76,22,63 with GCF Formula

Least Common Multiple of 82,76,22,63 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 82,76,22,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,76,22,63) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(82,76,22,63) x common factors =1 x 4 = 4

LCM(82,76,22,63) = ( 82 × 76 × 22 × 63 ) / 4

LCM(82,76,22,63) = 8637552 / 4

LCM(82,76,22,63) = 2159388


Lets's calculate GCF of 12,26,64,966

2 12, 26, 64, 966
6, 13, 32, 483

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2159388/2

Therefore the LCM of Fractions 82/12,76/26,22/64,63/966 is 1079694

Greatest Common Factor of 12,26,64,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,26,64,966 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 12,26,64,966 . The biggest common factor number is the GCF number.
So the greatest common factor 12,26,64,966 is 2.


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 82/12, 76/26, 22/64, 63/966

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 82/12, 76/26, 22/64, 63/966?

Answer: LCM of Numerators as per given numbers 82/12, 76/26, 22/64, 63/966 is

LCM of Numerators i.e. for 82,76,22,63 is 2159388

GCF of denominators i.e. for 12,26,64,966 is 2.

Thus, LCM of Fractions is 1079694.Finally, LCM of Fractions for 82/12, 76/26, 22/64, 63/966 is 1079694.