Least Common Multiple of 56/339, 25/151, 361/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/339, 25/151, 361/397 quickly i.e. 505400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/339, 25/151, 361/397 is 505400.

LCM(56/339, 25/151, 361/397) = 505400

LCM of 56/339, 25/151, 361/397

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 56/339,25/151,361/397

Given numbers are 56/339,25/151,361/397

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 56,25,361

Least Common Multiple of Numerators i.e. LCM of 56,25,361 is 505400.

GCF of Denominators means GCF of 339,151,397 as per the given fractions.

GCF of 339,151,397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,25,361

LCM of Fractions 56/339,25/151,361/397 is 505400

Given numbers has no common factors except 1. So, there LCM is their product i.e 505400

Least Common Multiple of 56,25,361 with GCF Formula

Least Common Multiple of 56,25,361 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 56,25,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,25,361) = 1

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

GCF(56,25,361) x common factors =1 x 1 = 1

LCM(56,25,361) = ( 56 × 25 × 361 ) / 1

LCM(56,25,361) = 505400 / 1

LCM(56,25,361) = 505400


Lets's calculate GCF of 339,151,397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 505400/1

Therefore the LCM of Fractions 56/339,25/151,361/397 is 505400

Greatest Common Factor of 339,151,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 339,151,397 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 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 339,151,397 . The biggest common factor number is the GCF number.
So the greatest common factor 339,151,397 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 56/339, 25/151, 361/397

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 56/339, 25/151, 361/397?

Answer: LCM of Numerators as per given numbers 56/339, 25/151, 361/397 is

LCM of Numerators i.e. for 56,25,361 is 505400

GCF of denominators i.e. for 339,151,397 is 1.

Thus, LCM of Fractions is 505400.Finally, LCM of Fractions for 56/339, 25/151, 361/397 is 505400.