Least Common Multiple of 242/808, 706/780, 413/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 242/808, 706/780, 413/702 quickly i.e. 17640469 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 242/808, 706/780, 413/702 is 17640469.

LCM(242/808, 706/780, 413/702) = 17640469

LCM of 242/808, 706/780, 413/702

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 242/808,706/780,413/702

Given numbers are 242/808,706/780,413/702

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 242,706,413

Least Common Multiple of Numerators i.e. LCM of 242,706,413 is 35280938.

GCF of Denominators means GCF of 808,780,702 as per the given fractions.

GCF of 808,780,702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 242,706,413

LCM of Fractions 242/808,706/780,413/702 is 17640469

2 242, 706, 413
121, 353, 413

∴ So the LCM of the given numbers is 2 x 121 x 353 x 413 = 35280938

Least Common Multiple of 242,706,413 with GCF Formula

Least Common Multiple of 242,706,413 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 242,706,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,706,413) = 1

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

GCF(242,706,413) x common factors =1 x 2 = 2

LCM(242,706,413) = ( 242 × 706 × 413 ) / 2

LCM(242,706,413) = 70561876 / 2

LCM(242,706,413) = 35280938


Lets's calculate GCF of 808,780,702

2 808, 780, 702
404, 390, 351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35280938/2

Therefore the LCM of Fractions 242/808,706/780,413/702 is 17640469

Greatest Common Factor of 808,780,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,780,702 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 808,780,702 . The biggest common factor number is the GCF number.
So the greatest common factor 808,780,702 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 242/808, 706/780, 413/702

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 242/808, 706/780, 413/702?

Answer: LCM of Numerators as per given numbers 242/808, 706/780, 413/702 is

LCM of Numerators i.e. for 242,706,413 is 35280938

GCF of denominators i.e. for 808,780,702 is 2.

Thus, LCM of Fractions is 17640469.Finally, LCM of Fractions for 242/808, 706/780, 413/702 is 17640469.