Least Common Multiple of 78/71, 42/69, 720/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/71, 42/69, 720/562 quickly i.e. 65520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/71, 42/69, 720/562 is 65520.

LCM(78/71, 42/69, 720/562) = 65520

LCM of 78/71, 42/69, 720/562

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 78/71,42/69,720/562

Given numbers are 78/71,42/69,720/562

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 78,42,720

Least Common Multiple of Numerators i.e. LCM of 78,42,720 is 65520.

GCF of Denominators means GCF of 71,69,562 as per the given fractions.

GCF of 71,69,562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,42,720

LCM of Fractions 78/71,42/69,720/562 is 65520

2 78, 42, 720
3 39, 21, 360
13, 7, 120

∴ So the LCM of the given numbers is 2 x 3 x 13 x 7 x 120 = 65520

Least Common Multiple of 78,42,720 with GCF Formula

Least Common Multiple of 78,42,720 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 78,42,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,42,720) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(78,42,720) x common factors =6 x 6 = 36

LCM(78,42,720) = ( 78 × 42 × 720 ) / 36

LCM(78,42,720) = 2358720 / 36

LCM(78,42,720) = 65520


Lets's calculate GCF of 71,69,562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65520/1

Therefore the LCM of Fractions 78/71,42/69,720/562 is 65520

Greatest Common Factor of 71,69,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,69,562 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 71,69,562 . The biggest common factor number is the GCF number.
So the greatest common factor 71,69,562 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 78/71, 42/69, 720/562

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 78/71, 42/69, 720/562?

Answer: LCM of Numerators as per given numbers 78/71, 42/69, 720/562 is

LCM of Numerators i.e. for 78,42,720 is 65520

GCF of denominators i.e. for 71,69,562 is 1.

Thus, LCM of Fractions is 65520.Finally, LCM of Fractions for 78/71, 42/69, 720/562 is 65520.