Least Common Multiple of 7992/242, 8617/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7992/242, 8617/442 quickly i.e. 34433532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7992/242, 8617/442 is 34433532.

LCM(7992/242, 8617/442) = 34433532

LCM of 7992/242, 8617/442

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 7992/242,8617/442

Given numbers are 7992/242,8617/442

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 7992,8617

Least Common Multiple of Numerators i.e. LCM of 7992,8617 is 68867064.

GCF of Denominators means GCF of 242,442 as per the given fractions.

GCF of 242,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7992,8617

LCM of Fractions 7992/242,8617/442 is 34433532

Given numbers has no common factors except 1. So, there LCM is their product i.e 68867064

Least Common Multiple of 7992,8617 with GCF Formula

Least Common Multiple of 7992,8617 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 7992,8617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7992,8617) = 1

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

GCF(7992,8617) x common factors =1 x 1 = 1

LCM(7992,8617) = ( 7992 × 8617 ) / 1

LCM(7992,8617) = 68867064 / 1

LCM(7992,8617) = 68867064


Lets's calculate GCF of 242,442

2 242, 442
121, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68867064/2

Therefore the LCM of Fractions 7992/242,8617/442 is 34433532

Greatest Common Factor of 242,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,442 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 242,442 . The biggest common factor number is the GCF number.
So the greatest common factor 242,442 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 7992/242, 8617/442

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 7992/242, 8617/442?

Answer: LCM of Numerators as per given numbers 7992/242, 8617/442 is

LCM of Numerators i.e. for 7992,8617 is 68867064

GCF of denominators i.e. for 242,442 is 2.

Thus, LCM of Fractions is 34433532.Finally, LCM of Fractions for 7992/242, 8617/442 is 34433532.