Least Common Multiple of 52/40, 29/31, 306/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/40, 29/31, 306/211 quickly i.e. 230724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/40, 29/31, 306/211 is 230724.

LCM(52/40, 29/31, 306/211) = 230724

LCM of 52/40, 29/31, 306/211

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 52/40,29/31,306/211

Given numbers are 52/40,29/31,306/211

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 52,29,306

Least Common Multiple of Numerators i.e. LCM of 52,29,306 is 230724.

GCF of Denominators means GCF of 40,31,211 as per the given fractions.

GCF of 40,31,211 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,29,306

LCM of Fractions 52/40,29/31,306/211 is 230724

2 52, 29, 306
26, 29, 153

∴ So the LCM of the given numbers is 2 x 26 x 29 x 153 = 230724

Least Common Multiple of 52,29,306 with GCF Formula

Least Common Multiple of 52,29,306 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 52,29,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,29,306) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(52,29,306) x common factors =1 x 2 = 2

LCM(52,29,306) = ( 52 × 29 × 306 ) / 2

LCM(52,29,306) = 461448 / 2

LCM(52,29,306) = 230724


Lets's calculate GCF of 40,31,211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230724/1

Therefore the LCM of Fractions 52/40,29/31,306/211 is 230724

Greatest Common Factor of 40,31,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,31,211 By Matching Biggest Common Factor Method

Factors of 40

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

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

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 40,31,211 . The biggest common factor number is the GCF number.
So the greatest common factor 40,31,211 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 52/40, 29/31, 306/211

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 52/40, 29/31, 306/211?

Answer: LCM of Numerators as per given numbers 52/40, 29/31, 306/211 is

LCM of Numerators i.e. for 52,29,306 is 230724

GCF of denominators i.e. for 40,31,211 is 1.

Thus, LCM of Fractions is 230724.Finally, LCM of Fractions for 52/40, 29/31, 306/211 is 230724.