Least Common Multiple of 242/726, 8639/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 242/726, 8639/990 quickly i.e. 2090638/66 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 242/726, 8639/990 is 2090638/66.

LCM(242/726, 8639/990) = 2090638/66

LCM of 242/726, 8639/990

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 242/726,8639/990

Given numbers are 242/726,8639/990

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 242,8639

Least Common Multiple of Numerators i.e. LCM of 242,8639 is 2090638.

GCF of Denominators means GCF of 726,990 as per the given fractions.

GCF of 726,990 is 66 as it is the largest common factor for these numbers.

Lets's calculate LCM of 242,8639

LCM of Fractions 242/726,8639/990 is 2090638/66

Given numbers has no common factors except 1. So, there LCM is their product i.e 2090638

Least Common Multiple of 242,8639 with GCF Formula

Least Common Multiple of 242,8639 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 242,8639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,8639) = 1

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

GCF(242,8639) x common factors =1 x 1 = 1

LCM(242,8639) = ( 242 × 8639 ) / 1

LCM(242,8639) = 2090638 / 1

LCM(242,8639) = 2090638


Lets's calculate GCF of 726,990

2 726, 990
3 363, 495
11 121, 165
11, 15

∴ So the GCF of the given numbers is 2 x 3 x 11 = 66

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2090638/66

Therefore the LCM of Fractions 242/726,8639/990 is 2090638/66

Greatest Common Factor of 726,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,990 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 726,990 . The biggest common factor number is the GCF number.
So the greatest common factor 726,990 is 66.


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 242/726, 8639/990

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 242/726, 8639/990?

Answer: LCM of Numerators as per given numbers 242/726, 8639/990 is

LCM of Numerators i.e. for 242,8639 is 2090638

GCF of denominators i.e. for 726,990 is 66.

Thus, LCM of Fractions is 2090638/66.Finally, LCM of Fractions for 242/726, 8639/990 is 2090638/66.