Least Common Multiple of 26/596, 139/59, 200/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/596, 139/59, 200/665 quickly i.e. 361400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/596, 139/59, 200/665 is 361400.

LCM(26/596, 139/59, 200/665) = 361400

LCM of 26/596, 139/59, 200/665

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 26/596,139/59,200/665

Given numbers are 26/596,139/59,200/665

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 26,139,200

Least Common Multiple of Numerators i.e. LCM of 26,139,200 is 361400.

GCF of Denominators means GCF of 596,59,665 as per the given fractions.

GCF of 596,59,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,139,200

LCM of Fractions 26/596,139/59,200/665 is 361400

2 26, 139, 200
13, 139, 100

∴ So the LCM of the given numbers is 2 x 13 x 139 x 100 = 361400

Least Common Multiple of 26,139,200 with GCF Formula

Least Common Multiple of 26,139,200 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 26,139,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,139,200) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(26,139,200) x common factors =1 x 2 = 2

LCM(26,139,200) = ( 26 × 139 × 200 ) / 2

LCM(26,139,200) = 722800 / 2

LCM(26,139,200) = 361400


Lets's calculate GCF of 596,59,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361400/1

Therefore the LCM of Fractions 26/596,139/59,200/665 is 361400

Greatest Common Factor of 596,59,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,59,665 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 596,59,665 . The biggest common factor number is the GCF number.
So the greatest common factor 596,59,665 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 26/596, 139/59, 200/665

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 26/596, 139/59, 200/665?

Answer: LCM of Numerators as per given numbers 26/596, 139/59, 200/665 is

LCM of Numerators i.e. for 26,139,200 is 361400

GCF of denominators i.e. for 596,59,665 is 1.

Thus, LCM of Fractions is 361400.Finally, LCM of Fractions for 26/596, 139/59, 200/665 is 361400.