Least Common Multiple of 70/36, 72/63, 39/87, 82/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/36, 72/63, 39/87, 82/113 quickly i.e. 1343160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/36, 72/63, 39/87, 82/113 is 1343160.

LCM(70/36, 72/63, 39/87, 82/113) = 1343160

LCM of 70/36, 72/63, 39/87, 82/113

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 70/36,72/63,39/87,82/113

Given numbers are 70/36,72/63,39/87,82/113

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 70,72,39,82

Least Common Multiple of Numerators i.e. LCM of 70,72,39,82 is 1343160.

GCF of Denominators means GCF of 36,63,87,113 as per the given fractions.

GCF of 36,63,87,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,72,39,82

LCM of Fractions 70/36,72/63,39/87,82/113 is 1343160

2 70, 72, 39, 82
3 35, 36, 39, 41
35, 12, 13, 41

∴ So the LCM of the given numbers is 2 x 3 x 35 x 12 x 13 x 41 = 1343160

Least Common Multiple of 70,72,39,82 with GCF Formula

Least Common Multiple of 70,72,39,82 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 70,72,39,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,72,39,82) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(70,72,39,82) x common factors =1 x 12 = 12

LCM(70,72,39,82) = ( 70 × 72 × 39 × 82 ) / 12

LCM(70,72,39,82) = 16117920 / 12

LCM(70,72,39,82) = 1343160


Lets's calculate GCF of 36,63,87,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1343160/1

Therefore the LCM of Fractions 70/36,72/63,39/87,82/113 is 1343160

Greatest Common Factor of 36,63,87,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,63,87,113 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 36,63,87,113 . The biggest common factor number is the GCF number.
So the greatest common factor 36,63,87,113 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 70/36, 72/63, 39/87, 82/113

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 70/36, 72/63, 39/87, 82/113?

Answer: LCM of Numerators as per given numbers 70/36, 72/63, 39/87, 82/113 is

LCM of Numerators i.e. for 70,72,39,82 is 1343160

GCF of denominators i.e. for 36,63,87,113 is 1.

Thus, LCM of Fractions is 1343160.Finally, LCM of Fractions for 70/36, 72/63, 39/87, 82/113 is 1343160.