Least Common Multiple of 356/201, 559/794, 494/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 356/201, 559/794, 494/189 quickly i.e. 3781076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 356/201, 559/794, 494/189 is 3781076.

LCM(356/201, 559/794, 494/189) = 3781076

LCM of 356/201, 559/794, 494/189

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 356/201,559/794,494/189

Given numbers are 356/201,559/794,494/189

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 356,559,494

Least Common Multiple of Numerators i.e. LCM of 356,559,494 is 3781076.

GCF of Denominators means GCF of 201,794,189 as per the given fractions.

GCF of 201,794,189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 356,559,494

LCM of Fractions 356/201,559/794,494/189 is 3781076

2 356, 559, 494
13 178, 559, 247
178, 43, 19

∴ So the LCM of the given numbers is 2 x 13 x 178 x 43 x 19 = 3781076

Least Common Multiple of 356,559,494 with GCF Formula

Least Common Multiple of 356,559,494 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 356,559,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,559,494) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(356,559,494) x common factors =1 x 26 = 26

LCM(356,559,494) = ( 356 × 559 × 494 ) / 26

LCM(356,559,494) = 98307976 / 26

LCM(356,559,494) = 3781076


Lets's calculate GCF of 201,794,189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3781076/1

Therefore the LCM of Fractions 356/201,559/794,494/189 is 3781076

Greatest Common Factor of 201,794,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,794,189 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 201,794,189 . The biggest common factor number is the GCF number.
So the greatest common factor 201,794,189 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 356/201, 559/794, 494/189

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 356/201, 559/794, 494/189?

Answer: LCM of Numerators as per given numbers 356/201, 559/794, 494/189 is

LCM of Numerators i.e. for 356,559,494 is 3781076

GCF of denominators i.e. for 201,794,189 is 1.

Thus, LCM of Fractions is 3781076.Finally, LCM of Fractions for 356/201, 559/794, 494/189 is 3781076.