Least Common Multiple of 26/402, 37/141, 408/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/402, 37/141, 408/809 quickly i.e. 196248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/402, 37/141, 408/809 is 196248.

LCM(26/402, 37/141, 408/809) = 196248

LCM of 26/402, 37/141, 408/809

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 26/402,37/141,408/809

Given numbers are 26/402,37/141,408/809

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 26,37,408

Least Common Multiple of Numerators i.e. LCM of 26,37,408 is 196248.

GCF of Denominators means GCF of 402,141,809 as per the given fractions.

GCF of 402,141,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,37,408

LCM of Fractions 26/402,37/141,408/809 is 196248

2 26, 37, 408
13, 37, 204

∴ So the LCM of the given numbers is 2 x 13 x 37 x 204 = 196248

Least Common Multiple of 26,37,408 with GCF Formula

Least Common Multiple of 26,37,408 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 26,37,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,37,408) = 1

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

GCF(26,37,408) x common factors =1 x 2 = 2

LCM(26,37,408) = ( 26 × 37 × 408 ) / 2

LCM(26,37,408) = 392496 / 2

LCM(26,37,408) = 196248


Lets's calculate GCF of 402,141,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196248/1

Therefore the LCM of Fractions 26/402,37/141,408/809 is 196248

Greatest Common Factor of 402,141,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,141,809 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 402,141,809 . The biggest common factor number is the GCF number.
So the greatest common factor 402,141,809 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 26/402, 37/141, 408/809

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 26/402, 37/141, 408/809?

Answer: LCM of Numerators as per given numbers 26/402, 37/141, 408/809 is

LCM of Numerators i.e. for 26,37,408 is 196248

GCF of denominators i.e. for 402,141,809 is 1.

Thus, LCM of Fractions is 196248.Finally, LCM of Fractions for 26/402, 37/141, 408/809 is 196248.