Least Common Multiple of 326/242, 740/989, 753/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 326/242, 740/989, 753/820 quickly i.e. 90826860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 326/242, 740/989, 753/820 is 90826860.

LCM(326/242, 740/989, 753/820) = 90826860

LCM of 326/242, 740/989, 753/820

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 326/242,740/989,753/820

Given numbers are 326/242,740/989,753/820

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 326,740,753

Least Common Multiple of Numerators i.e. LCM of 326,740,753 is 90826860.

GCF of Denominators means GCF of 242,989,820 as per the given fractions.

GCF of 242,989,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 326,740,753

LCM of Fractions 326/242,740/989,753/820 is 90826860

2 326, 740, 753
163, 370, 753

∴ So the LCM of the given numbers is 2 x 163 x 370 x 753 = 90826860

Least Common Multiple of 326,740,753 with GCF Formula

Least Common Multiple of 326,740,753 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 326,740,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,740,753) = 1

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

GCF(326,740,753) x common factors =1 x 2 = 2

LCM(326,740,753) = ( 326 × 740 × 753 ) / 2

LCM(326,740,753) = 181653720 / 2

LCM(326,740,753) = 90826860


Lets's calculate GCF of 242,989,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90826860/1

Therefore the LCM of Fractions 326/242,740/989,753/820 is 90826860

Greatest Common Factor of 242,989,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,989,820 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 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 242,989,820 . The biggest common factor number is the GCF number.
So the greatest common factor 242,989,820 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 326/242, 740/989, 753/820

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 326/242, 740/989, 753/820?

Answer: LCM of Numerators as per given numbers 326/242, 740/989, 753/820 is

LCM of Numerators i.e. for 326,740,753 is 90826860

GCF of denominators i.e. for 242,989,820 is 1.

Thus, LCM of Fractions is 90826860.Finally, LCM of Fractions for 326/242, 740/989, 753/820 is 90826860.