Least Common Multiple of 149/204, 1357/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/204, 1357/427 quickly i.e. 202193 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/204, 1357/427 is 202193.

LCM(149/204, 1357/427) = 202193

LCM of 149/204, 1357/427

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 149/204,1357/427

Given numbers are 149/204,1357/427

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 149,1357

Least Common Multiple of Numerators i.e. LCM of 149,1357 is 202193.

GCF of Denominators means GCF of 204,427 as per the given fractions.

GCF of 204,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,1357

LCM of Fractions 149/204,1357/427 is 202193

Given numbers has no common factors except 1. So, there LCM is their product i.e 202193

Least Common Multiple of 149,1357 with GCF Formula

Least Common Multiple of 149,1357 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 149,1357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,1357) = 1

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

GCF(149,1357) x common factors =1 x 1 = 1

LCM(149,1357) = ( 149 × 1357 ) / 1

LCM(149,1357) = 202193 / 1

LCM(149,1357) = 202193


Lets's calculate GCF of 204,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202193/1

Therefore the LCM of Fractions 149/204,1357/427 is 202193

Greatest Common Factor of 204,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,427 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 204,427 . The biggest common factor number is the GCF number.
So the greatest common factor 204,427 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 149/204, 1357/427

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 149/204, 1357/427?

Answer: LCM of Numerators as per given numbers 149/204, 1357/427 is

LCM of Numerators i.e. for 149,1357 is 202193

GCF of denominators i.e. for 204,427 is 1.

Thus, LCM of Fractions is 202193.Finally, LCM of Fractions for 149/204, 1357/427 is 202193.