Least Common Multiple of 27/397, 16/426, 355/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/397, 16/426, 355/153 quickly i.e. 153360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/397, 16/426, 355/153 is 153360.

LCM(27/397, 16/426, 355/153) = 153360

LCM of 27/397, 16/426, 355/153

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 27/397,16/426,355/153

Given numbers are 27/397,16/426,355/153

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 27,16,355

Least Common Multiple of Numerators i.e. LCM of 27,16,355 is 153360.

GCF of Denominators means GCF of 397,426,153 as per the given fractions.

GCF of 397,426,153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,16,355

LCM of Fractions 27/397,16/426,355/153 is 153360

Given numbers has no common factors except 1. So, there LCM is their product i.e 153360

Least Common Multiple of 27,16,355 with GCF Formula

Least Common Multiple of 27,16,355 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 27,16,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,16,355) = 1

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

GCF(27,16,355) x common factors =1 x 1 = 1

LCM(27,16,355) = ( 27 × 16 × 355 ) / 1

LCM(27,16,355) = 153360 / 1

LCM(27,16,355) = 153360


Lets's calculate GCF of 397,426,153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153360/1

Therefore the LCM of Fractions 27/397,16/426,355/153 is 153360

Greatest Common Factor of 397,426,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,426,153 By Matching Biggest Common Factor Method

Factors of 397

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

1,397

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 397,426,153 . The biggest common factor number is the GCF number.
So the greatest common factor 397,426,153 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 27/397, 16/426, 355/153

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 27/397, 16/426, 355/153?

Answer: LCM of Numerators as per given numbers 27/397, 16/426, 355/153 is

LCM of Numerators i.e. for 27,16,355 is 153360

GCF of denominators i.e. for 397,426,153 is 1.

Thus, LCM of Fractions is 153360.Finally, LCM of Fractions for 27/397, 16/426, 355/153 is 153360.