Least Common Multiple of 40/135, 983/47, 400/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/135, 983/47, 400/122 quickly i.e. 393200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/135, 983/47, 400/122 is 393200.

LCM(40/135, 983/47, 400/122) = 393200

LCM of 40/135, 983/47, 400/122

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 40/135,983/47,400/122

Given numbers are 40/135,983/47,400/122

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 40,983,400

Least Common Multiple of Numerators i.e. LCM of 40,983,400 is 393200.

GCF of Denominators means GCF of 135,47,122 as per the given fractions.

GCF of 135,47,122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,983,400

LCM of Fractions 40/135,983/47,400/122 is 393200

2 40, 983, 400
2 20, 983, 200
2 10, 983, 100
5 5, 983, 50
1, 983, 10

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 983 x 10 = 393200

Least Common Multiple of 40,983,400 with GCF Formula

Least Common Multiple of 40,983,400 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 40,983,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,983,400) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(40,983,400) x common factors =1 x 40 = 40

LCM(40,983,400) = ( 40 × 983 × 400 ) / 40

LCM(40,983,400) = 15728000 / 40

LCM(40,983,400) = 393200


Lets's calculate GCF of 135,47,122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393200/1

Therefore the LCM of Fractions 40/135,983/47,400/122 is 393200

Greatest Common Factor of 135,47,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,47,122 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 135,47,122 . The biggest common factor number is the GCF number.
So the greatest common factor 135,47,122 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 40/135, 983/47, 400/122

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 40/135, 983/47, 400/122?

Answer: LCM of Numerators as per given numbers 40/135, 983/47, 400/122 is

LCM of Numerators i.e. for 40,983,400 is 393200

GCF of denominators i.e. for 135,47,122 is 1.

Thus, LCM of Fractions is 393200.Finally, LCM of Fractions for 40/135, 983/47, 400/122 is 393200.