Least Common Multiple of 26/189, 913/747, 477/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/189, 913/747, 477/578 quickly i.e. 11323026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/189, 913/747, 477/578 is 11323026.

LCM(26/189, 913/747, 477/578) = 11323026

LCM of 26/189, 913/747, 477/578

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 26/189,913/747,477/578

Given numbers are 26/189,913/747,477/578

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 26,913,477

Least Common Multiple of Numerators i.e. LCM of 26,913,477 is 11323026.

GCF of Denominators means GCF of 189,747,578 as per the given fractions.

GCF of 189,747,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,913,477

LCM of Fractions 26/189,913/747,477/578 is 11323026

Given numbers has no common factors except 1. So, there LCM is their product i.e 11323026

Least Common Multiple of 26,913,477 with GCF Formula

Least Common Multiple of 26,913,477 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 26,913,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,913,477) = 1

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

GCF(26,913,477) x common factors =1 x 1 = 1

LCM(26,913,477) = ( 26 × 913 × 477 ) / 1

LCM(26,913,477) = 11323026 / 1

LCM(26,913,477) = 11323026


Lets's calculate GCF of 189,747,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11323026/1

Therefore the LCM of Fractions 26/189,913/747,477/578 is 11323026

Greatest Common Factor of 189,747,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,747,578 By Matching Biggest Common Factor Method

Factors of 189

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

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

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 189,747,578 . The biggest common factor number is the GCF number.
So the greatest common factor 189,747,578 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 26/189, 913/747, 477/578

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 26/189, 913/747, 477/578?

Answer: LCM of Numerators as per given numbers 26/189, 913/747, 477/578 is

LCM of Numerators i.e. for 26,913,477 is 11323026

GCF of denominators i.e. for 189,747,578 is 1.

Thus, LCM of Fractions is 11323026.Finally, LCM of Fractions for 26/189, 913/747, 477/578 is 11323026.