Least Common Multiple of 26/593, 427/499, 741/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/593, 427/499, 741/738 quickly i.e. 632814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/593, 427/499, 741/738 is 632814.

LCM(26/593, 427/499, 741/738) = 632814

LCM of 26/593, 427/499, 741/738

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 26/593,427/499,741/738

Given numbers are 26/593,427/499,741/738

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 26,427,741

Least Common Multiple of Numerators i.e. LCM of 26,427,741 is 632814.

GCF of Denominators means GCF of 593,499,738 as per the given fractions.

GCF of 593,499,738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,427,741

LCM of Fractions 26/593,427/499,741/738 is 632814

13 26, 427, 741
2, 427, 57

∴ So the LCM of the given numbers is 13 x 2 x 427 x 57 = 632814

Least Common Multiple of 26,427,741 with GCF Formula

Least Common Multiple of 26,427,741 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 26,427,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,427,741) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(26,427,741) x common factors =1 x 13 = 13

LCM(26,427,741) = ( 26 × 427 × 741 ) / 13

LCM(26,427,741) = 8226582 / 13

LCM(26,427,741) = 632814


Lets's calculate GCF of 593,499,738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 632814/1

Therefore the LCM of Fractions 26/593,427/499,741/738 is 632814

Greatest Common Factor of 593,499,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,499,738 By Matching Biggest Common Factor Method

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 593,499,738 . The biggest common factor number is the GCF number.
So the greatest common factor 593,499,738 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 26/593, 427/499, 741/738

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 26/593, 427/499, 741/738?

Answer: LCM of Numerators as per given numbers 26/593, 427/499, 741/738 is

LCM of Numerators i.e. for 26,427,741 is 632814

GCF of denominators i.e. for 593,499,738 is 1.

Thus, LCM of Fractions is 632814.Finally, LCM of Fractions for 26/593, 427/499, 741/738 is 632814.