Least Common Multiple of 40/754, 20/291, 828/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/754, 20/291, 828/503 quickly i.e. 8280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/754, 20/291, 828/503 is 8280.

LCM(40/754, 20/291, 828/503) = 8280

LCM of 40/754, 20/291, 828/503

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 40/754,20/291,828/503

Given numbers are 40/754,20/291,828/503

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 40,20,828

Least Common Multiple of Numerators i.e. LCM of 40,20,828 is 8280.

GCF of Denominators means GCF of 754,291,503 as per the given fractions.

GCF of 754,291,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,20,828

LCM of Fractions 40/754,20/291,828/503 is 8280

2 40, 20, 828
2 20, 10, 414
5 5, 10, 207
1, 2, 207

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 2 x 207 = 8280

Least Common Multiple of 40,20,828 with GCF Formula

Least Common Multiple of 40,20,828 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 40,20,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,20,828) = 4

common factors(in case of two or more numbers have common factors) = 20

GCF(40,20,828) x common factors =4 x 20 = 80

LCM(40,20,828) = ( 40 × 20 × 828 ) / 80

LCM(40,20,828) = 662400 / 80

LCM(40,20,828) = 8280


Lets's calculate GCF of 754,291,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8280/1

Therefore the LCM of Fractions 40/754,20/291,828/503 is 8280

Greatest Common Factor of 754,291,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,291,503 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 754,291,503 . The biggest common factor number is the GCF number.
So the greatest common factor 754,291,503 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 40/754, 20/291, 828/503

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 40/754, 20/291, 828/503?

Answer: LCM of Numerators as per given numbers 40/754, 20/291, 828/503 is

LCM of Numerators i.e. for 40,20,828 is 8280

GCF of denominators i.e. for 754,291,503 is 1.

Thus, LCM of Fractions is 8280.Finally, LCM of Fractions for 40/754, 20/291, 828/503 is 8280.