Least Common Multiple of 1/339, 49/540, 53/551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/339, 49/540, 53/551 quickly i.e. 2597 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/339, 49/540, 53/551 is 2597.

LCM(1/339, 49/540, 53/551) = 2597

LCM of 1/339, 49/540, 53/551

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 1/339,49/540,53/551

Given numbers are 1/339,49/540,53/551

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 1,49,53

Least Common Multiple of Numerators i.e. LCM of 1,49,53 is 2597.

GCF of Denominators means GCF of 339,540,551 as per the given fractions.

GCF of 339,540,551 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,49,53

LCM of Fractions 1/339,49/540,53/551 is 2597

Given numbers has no common factors except 1. So, there LCM is their product i.e 2597

Least Common Multiple of 1,49,53 with GCF Formula

Least Common Multiple of 1,49,53 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 1,49,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,49,53) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1,49,53) x common factors =1 x 1 = 1

LCM(1,49,53) = ( 1 × 49 × 53 ) / 1

LCM(1,49,53) = 2597 / 1

LCM(1,49,53) = 2597


Lets's calculate GCF of 339,540,551

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2597/1

Therefore the LCM of Fractions 1/339,49/540,53/551 is 2597

Greatest Common Factor of 339,540,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,540,551 By Matching Biggest Common Factor Method

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Greatest Common Factor

We found the factors 339,540,551 . The biggest common factor number is the GCF number.
So the greatest common factor 339,540,551 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 1/339, 49/540, 53/551

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 1/339, 49/540, 53/551?

Answer: LCM of Numerators as per given numbers 1/339, 49/540, 53/551 is

LCM of Numerators i.e. for 1,49,53 is 2597

GCF of denominators i.e. for 339,540,551 is 1.

Thus, LCM of Fractions is 2597.Finally, LCM of Fractions for 1/339, 49/540, 53/551 is 2597.