Least Common Multiple of 84/31, 28/68, 81/18, 70/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/31, 28/68, 81/18, 70/541 quickly i.e. 11340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/31, 28/68, 81/18, 70/541 is 11340.

LCM(84/31, 28/68, 81/18, 70/541) = 11340

LCM of 84/31, 28/68, 81/18, 70/541

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 84/31,28/68,81/18,70/541

Given numbers are 84/31,28/68,81/18,70/541

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 84,28,81,70

Least Common Multiple of Numerators i.e. LCM of 84,28,81,70 is 11340.

GCF of Denominators means GCF of 31,68,18,541 as per the given fractions.

GCF of 31,68,18,541 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,28,81,70

LCM of Fractions 84/31,28/68,81/18,70/541 is 11340

2 84, 28, 81, 70
2 42, 14, 81, 35
3 21, 7, 81, 35
7 7, 7, 27, 35
1, 1, 27, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 27 x 5 = 11340

Least Common Multiple of 84,28,81,70 with GCF Formula

Least Common Multiple of 84,28,81,70 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 84,28,81,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,28,81,70) = 1

common factors(in case of two or more numbers have common factors) = 1176

GCF(84,28,81,70) x common factors =1 x 1176 = 1176

LCM(84,28,81,70) = ( 84 × 28 × 81 × 70 ) / 1176

LCM(84,28,81,70) = 13335840 / 1176

LCM(84,28,81,70) = 11340


Lets's calculate GCF of 31,68,18,541

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11340/1

Therefore the LCM of Fractions 84/31,28/68,81/18,70/541 is 11340

Greatest Common Factor of 31,68,18,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,68,18,541 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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 18

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

1,2,3,6,9,18

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 31,68,18,541 . The biggest common factor number is the GCF number.
So the greatest common factor 31,68,18,541 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 84/31, 28/68, 81/18, 70/541

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 84/31, 28/68, 81/18, 70/541?

Answer: LCM of Numerators as per given numbers 84/31, 28/68, 81/18, 70/541 is

LCM of Numerators i.e. for 84,28,81,70 is 11340

GCF of denominators i.e. for 31,68,18,541 is 1.

Thus, LCM of Fractions is 11340.Finally, LCM of Fractions for 84/31, 28/68, 81/18, 70/541 is 11340.