Least Common Multiple of 82/66, 78/86, 956/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/66, 78/86, 956/798 quickly i.e. 764322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/66, 78/86, 956/798 is 764322.

LCM(82/66, 78/86, 956/798) = 764322

LCM of 82/66, 78/86, 956/798

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 82/66,78/86,956/798

Given numbers are 82/66,78/86,956/798

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 82,78,956

Least Common Multiple of Numerators i.e. LCM of 82,78,956 is 1528644.

GCF of Denominators means GCF of 66,86,798 as per the given fractions.

GCF of 66,86,798 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,78,956

LCM of Fractions 82/66,78/86,956/798 is 764322

2 82, 78, 956
41, 39, 478

∴ So the LCM of the given numbers is 2 x 41 x 39 x 478 = 1528644

Least Common Multiple of 82,78,956 with GCF Formula

Least Common Multiple of 82,78,956 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 82,78,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,78,956) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(82,78,956) x common factors =2 x 2 = 4

LCM(82,78,956) = ( 82 × 78 × 956 ) / 4

LCM(82,78,956) = 6114576 / 4

LCM(82,78,956) = 1528644


Lets's calculate GCF of 66,86,798

2 66, 86, 798
33, 43, 399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1528644/2

Therefore the LCM of Fractions 82/66,78/86,956/798 is 764322

Greatest Common Factor of 66,86,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,86,798 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 66,86,798 . The biggest common factor number is the GCF number.
So the greatest common factor 66,86,798 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 82/66, 78/86, 956/798

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 82/66, 78/86, 956/798?

Answer: LCM of Numerators as per given numbers 82/66, 78/86, 956/798 is

LCM of Numerators i.e. for 82,78,956 is 1528644

GCF of denominators i.e. for 66,86,798 is 2.

Thus, LCM of Fractions is 764322.Finally, LCM of Fractions for 82/66, 78/86, 956/798 is 764322.