Least Common Multiple of 82/74, 82/35, 971/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/74, 82/35, 971/129 quickly i.e. 79622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/74, 82/35, 971/129 is 79622.

LCM(82/74, 82/35, 971/129) = 79622

LCM of 82/74, 82/35, 971/129

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 82/74,82/35,971/129

Given numbers are 82/74,82/35,971/129

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 82,82,971

Least Common Multiple of Numerators i.e. LCM of 82,82,971 is 79622.

GCF of Denominators means GCF of 74,35,129 as per the given fractions.

GCF of 74,35,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,82,971

LCM of Fractions 82/74,82/35,971/129 is 79622

2 82, 82, 971
41 41, 41, 971
1, 1, 971

∴ So the LCM of the given numbers is 2 x 41 x 1 x 1 x 971 = 79622

Least Common Multiple of 82,82,971 with GCF Formula

Least Common Multiple of 82,82,971 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 82,82,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,82,971) = 1

common factors(in case of two or more numbers have common factors) = 82

GCF(82,82,971) x common factors =1 x 82 = 82

LCM(82,82,971) = ( 82 × 82 × 971 ) / 82

LCM(82,82,971) = 6529004 / 82

LCM(82,82,971) = 79622


Lets's calculate GCF of 74,35,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79622/1

Therefore the LCM of Fractions 82/74,82/35,971/129 is 79622

Greatest Common Factor of 74,35,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,35,129 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 35

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

1,5,7,35

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 74,35,129 . The biggest common factor number is the GCF number.
So the greatest common factor 74,35,129 is 1.


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 82/74, 82/35, 971/129

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 82/74, 82/35, 971/129?

Answer: LCM of Numerators as per given numbers 82/74, 82/35, 971/129 is

LCM of Numerators i.e. for 82,82,971 is 79622

GCF of denominators i.e. for 74,35,129 is 1.

Thus, LCM of Fractions is 79622.Finally, LCM of Fractions for 82/74, 82/35, 971/129 is 79622.