Least Common Multiple of 3/31, 8/18, 82/49, 92/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/31, 8/18, 82/49, 92/677 quickly i.e. 22632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/31, 8/18, 82/49, 92/677 is 22632.

LCM(3/31, 8/18, 82/49, 92/677) = 22632

LCM of 3/31, 8/18, 82/49, 92/677

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 3/31,8/18,82/49,92/677

Given numbers are 3/31,8/18,82/49,92/677

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 3,8,82,92

Least Common Multiple of Numerators i.e. LCM of 3,8,82,92 is 22632.

GCF of Denominators means GCF of 31,18,49,677 as per the given fractions.

GCF of 31,18,49,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,8,82,92

LCM of Fractions 3/31,8/18,82/49,92/677 is 22632

2 3, 8, 82, 92
2 3, 4, 41, 46
3, 2, 41, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 41 x 23 = 22632

Least Common Multiple of 3,8,82,92 with GCF Formula

Least Common Multiple of 3,8,82,92 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 3,8,82,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,8,82,92) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(3,8,82,92) x common factors =1 x 8 = 8

LCM(3,8,82,92) = ( 3 × 8 × 82 × 92 ) / 8

LCM(3,8,82,92) = 181056 / 8

LCM(3,8,82,92) = 22632


Lets's calculate GCF of 31,18,49,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22632/1

Therefore the LCM of Fractions 3/31,8/18,82/49,92/677 is 22632

Greatest Common Factor of 31,18,49,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,18,49,677 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 31,18,49,677 . The biggest common factor number is the GCF number.
So the greatest common factor 31,18,49,677 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 3/31, 8/18, 82/49, 92/677

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 3/31, 8/18, 82/49, 92/677?

Answer: LCM of Numerators as per given numbers 3/31, 8/18, 82/49, 92/677 is

LCM of Numerators i.e. for 3,8,82,92 is 22632

GCF of denominators i.e. for 31,18,49,677 is 1.

Thus, LCM of Fractions is 22632.Finally, LCM of Fractions for 3/31, 8/18, 82/49, 92/677 is 22632.