Least Common Multiple of 52/742, 28/826, 595/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/742, 28/826, 595/410 quickly i.e. 15470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/742, 28/826, 595/410 is 15470.

LCM(52/742, 28/826, 595/410) = 15470

LCM of 52/742, 28/826, 595/410

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 52/742,28/826,595/410

Given numbers are 52/742,28/826,595/410

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 52,28,595

Least Common Multiple of Numerators i.e. LCM of 52,28,595 is 30940.

GCF of Denominators means GCF of 742,826,410 as per the given fractions.

GCF of 742,826,410 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,28,595

LCM of Fractions 52/742,28/826,595/410 is 15470

2 52, 28, 595
2 26, 14, 595
7 13, 7, 595
13, 1, 85

∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 1 x 85 = 30940

Least Common Multiple of 52,28,595 with GCF Formula

Least Common Multiple of 52,28,595 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 52,28,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,28,595) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(52,28,595) x common factors =1 x 28 = 28

LCM(52,28,595) = ( 52 × 28 × 595 ) / 28

LCM(52,28,595) = 866320 / 28

LCM(52,28,595) = 30940


Lets's calculate GCF of 742,826,410

2 742, 826, 410
371, 413, 205

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30940/2

Therefore the LCM of Fractions 52/742,28/826,595/410 is 15470

Greatest Common Factor of 742,826,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,826,410 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 742,826,410 . The biggest common factor number is the GCF number.
So the greatest common factor 742,826,410 is 2.


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 52/742, 28/826, 595/410

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 52/742, 28/826, 595/410?

Answer: LCM of Numerators as per given numbers 52/742, 28/826, 595/410 is

LCM of Numerators i.e. for 52,28,595 is 30940

GCF of denominators i.e. for 742,826,410 is 2.

Thus, LCM of Fractions is 15470.Finally, LCM of Fractions for 52/742, 28/826, 595/410 is 15470.