Least Common Multiple of 70/78, 14/74, 72/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/78, 14/74, 72/568 quickly i.e. 1260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/78, 14/74, 72/568 is 1260.

LCM(70/78, 14/74, 72/568) = 1260

LCM of 70/78, 14/74, 72/568

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 70/78,14/74,72/568

Given numbers are 70/78,14/74,72/568

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 70,14,72

Least Common Multiple of Numerators i.e. LCM of 70,14,72 is 2520.

GCF of Denominators means GCF of 78,74,568 as per the given fractions.

GCF of 78,74,568 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,14,72

LCM of Fractions 70/78,14/74,72/568 is 1260

2 70, 14, 72
7 35, 7, 36
5, 1, 36

∴ So the LCM of the given numbers is 2 x 7 x 5 x 1 x 36 = 2520

Least Common Multiple of 70,14,72 with GCF Formula

Least Common Multiple of 70,14,72 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 70,14,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,14,72) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(70,14,72) x common factors =2 x 14 = 28

LCM(70,14,72) = ( 70 × 14 × 72 ) / 28

LCM(70,14,72) = 70560 / 28

LCM(70,14,72) = 2520


Lets's calculate GCF of 78,74,568

2 78, 74, 568
39, 37, 284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2520/2

Therefore the LCM of Fractions 70/78,14/74,72/568 is 1260

Greatest Common Factor of 78,74,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,74,568 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 78,74,568 . The biggest common factor number is the GCF number.
So the greatest common factor 78,74,568 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 70/78, 14/74, 72/568

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 70/78, 14/74, 72/568?

Answer: LCM of Numerators as per given numbers 70/78, 14/74, 72/568 is

LCM of Numerators i.e. for 70,14,72 is 2520

GCF of denominators i.e. for 78,74,568 is 2.

Thus, LCM of Fractions is 1260.Finally, LCM of Fractions for 70/78, 14/74, 72/568 is 1260.