Least Common Multiple of 402/260, 9201/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/260, 9201/758 quickly i.e. 616467 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/260, 9201/758 is 616467.

LCM(402/260, 9201/758) = 616467

LCM of 402/260, 9201/758

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 402/260,9201/758

Given numbers are 402/260,9201/758

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 402,9201

Least Common Multiple of Numerators i.e. LCM of 402,9201 is 1232934.

GCF of Denominators means GCF of 260,758 as per the given fractions.

GCF of 260,758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,9201

LCM of Fractions 402/260,9201/758 is 616467

3 402, 9201
134, 3067

∴ So the LCM of the given numbers is 3 x 134 x 3067 = 1232934

Least Common Multiple of 402,9201 with GCF Formula

Least Common Multiple of 402,9201 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 402,9201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,9201) = 3

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

GCF(402,9201) x common factors =3 x 1 = 3

LCM(402,9201) = ( 402 × 9201 ) / 3

LCM(402,9201) = 3698802 / 3

LCM(402,9201) = 1232934


Lets's calculate GCF of 260,758

2 260, 758
130, 379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1232934/2

Therefore the LCM of Fractions 402/260,9201/758 is 616467

Greatest Common Factor of 260,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,758 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 260,758 . The biggest common factor number is the GCF number.
So the greatest common factor 260,758 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 402/260, 9201/758

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 402/260, 9201/758?

Answer: LCM of Numerators as per given numbers 402/260, 9201/758 is

LCM of Numerators i.e. for 402,9201 is 1232934

GCF of denominators i.e. for 260,758 is 2.

Thus, LCM of Fractions is 616467.Finally, LCM of Fractions for 402/260, 9201/758 is 616467.