Least Common Multiple of 82/58, 672/92, 811/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/58, 672/92, 811/342 quickly i.e. 11172336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/58, 672/92, 811/342 is 11172336.

LCM(82/58, 672/92, 811/342) = 11172336

LCM of 82/58, 672/92, 811/342

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 82/58,672/92,811/342

Given numbers are 82/58,672/92,811/342

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 82,672,811

Least Common Multiple of Numerators i.e. LCM of 82,672,811 is 22344672.

GCF of Denominators means GCF of 58,92,342 as per the given fractions.

GCF of 58,92,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,672,811

LCM of Fractions 82/58,672/92,811/342 is 11172336

2 82, 672, 811
41, 336, 811

∴ So the LCM of the given numbers is 2 x 41 x 336 x 811 = 22344672

Least Common Multiple of 82,672,811 with GCF Formula

Least Common Multiple of 82,672,811 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 82,672,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,672,811) = 1

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

GCF(82,672,811) x common factors =1 x 2 = 2

LCM(82,672,811) = ( 82 × 672 × 811 ) / 2

LCM(82,672,811) = 44689344 / 2

LCM(82,672,811) = 22344672


Lets's calculate GCF of 58,92,342

2 58, 92, 342
29, 46, 171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22344672/2

Therefore the LCM of Fractions 82/58,672/92,811/342 is 11172336

Greatest Common Factor of 58,92,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,92,342 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 58,92,342 . The biggest common factor number is the GCF number.
So the greatest common factor 58,92,342 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 82/58, 672/92, 811/342

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 82/58, 672/92, 811/342?

Answer: LCM of Numerators as per given numbers 82/58, 672/92, 811/342 is

LCM of Numerators i.e. for 82,672,811 is 22344672

GCF of denominators i.e. for 58,92,342 is 2.

Thus, LCM of Fractions is 11172336.Finally, LCM of Fractions for 82/58, 672/92, 811/342 is 11172336.