Least Common Multiple of 70/72, 35/15, 56/13, 65/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/72, 35/15, 56/13, 65/438 quickly i.e. 3640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/72, 35/15, 56/13, 65/438 is 3640.

LCM(70/72, 35/15, 56/13, 65/438) = 3640

LCM of 70/72, 35/15, 56/13, 65/438

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 70/72,35/15,56/13,65/438

Given numbers are 70/72,35/15,56/13,65/438

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 70,35,56,65

Least Common Multiple of Numerators i.e. LCM of 70,35,56,65 is 3640.

GCF of Denominators means GCF of 72,15,13,438 as per the given fractions.

GCF of 72,15,13,438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,35,56,65

LCM of Fractions 70/72,35/15,56/13,65/438 is 3640

2 70, 35, 56, 65
5 35, 35, 28, 65
7 7, 7, 28, 13
1, 1, 4, 13

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 1 x 4 x 13 = 3640

Least Common Multiple of 70,35,56,65 with GCF Formula

Least Common Multiple of 70,35,56,65 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 70,35,56,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,35,56,65) = 1

common factors(in case of two or more numbers have common factors) = 2450

GCF(70,35,56,65) x common factors =1 x 2450 = 2450

LCM(70,35,56,65) = ( 70 × 35 × 56 × 65 ) / 2450

LCM(70,35,56,65) = 8918000 / 2450

LCM(70,35,56,65) = 3640


Lets's calculate GCF of 72,15,13,438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3640/1

Therefore the LCM of Fractions 70/72,35/15,56/13,65/438 is 3640

Greatest Common Factor of 72,15,13,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,15,13,438 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 72,15,13,438 . The biggest common factor number is the GCF number.
So the greatest common factor 72,15,13,438 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 70/72, 35/15, 56/13, 65/438

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 70/72, 35/15, 56/13, 65/438?

Answer: LCM of Numerators as per given numbers 70/72, 35/15, 56/13, 65/438 is

LCM of Numerators i.e. for 70,35,56,65 is 3640

GCF of denominators i.e. for 72,15,13,438 is 1.

Thus, LCM of Fractions is 3640.Finally, LCM of Fractions for 70/72, 35/15, 56/13, 65/438 is 3640.