Least Common Multiple of 29/78, 15/87, 20/77, 563/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/78, 15/87, 20/77, 563/40 quickly i.e. 979620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/78, 15/87, 20/77, 563/40 is 979620.

LCM(29/78, 15/87, 20/77, 563/40) = 979620

LCM of 29/78, 15/87, 20/77, 563/40

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 29/78,15/87,20/77,563/40

Given numbers are 29/78,15/87,20/77,563/40

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 29,15,20,563

Least Common Multiple of Numerators i.e. LCM of 29,15,20,563 is 979620.

GCF of Denominators means GCF of 78,87,77,40 as per the given fractions.

GCF of 78,87,77,40 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,15,20,563

LCM of Fractions 29/78,15/87,20/77,563/40 is 979620

5 29, 15, 20, 563
29, 3, 4, 563

∴ So the LCM of the given numbers is 5 x 29 x 3 x 4 x 563 = 979620

Least Common Multiple of 29,15,20,563 with GCF Formula

Least Common Multiple of 29,15,20,563 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 29,15,20,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,15,20,563) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(29,15,20,563) x common factors =1 x 5 = 5

LCM(29,15,20,563) = ( 29 × 15 × 20 × 563 ) / 5

LCM(29,15,20,563) = 4898100 / 5

LCM(29,15,20,563) = 979620


Lets's calculate GCF of 78,87,77,40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 979620/1

Therefore the LCM of Fractions 29/78,15/87,20/77,563/40 is 979620

Greatest Common Factor of 78,87,77,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,87,77,40 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 87

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

1,3,29,87

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 78,87,77,40 . The biggest common factor number is the GCF number.
So the greatest common factor 78,87,77,40 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 29/78, 15/87, 20/77, 563/40

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 29/78, 15/87, 20/77, 563/40?

Answer: LCM of Numerators as per given numbers 29/78, 15/87, 20/77, 563/40 is

LCM of Numerators i.e. for 29,15,20,563 is 979620

GCF of denominators i.e. for 78,87,77,40 is 1.

Thus, LCM of Fractions is 979620.Finally, LCM of Fractions for 29/78, 15/87, 20/77, 563/40 is 979620.