Least Common Multiple of 301/72, 9990/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 301/72, 9990/891 quickly i.e. 334110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/72, 9990/891 is 334110.

LCM(301/72, 9990/891) = 334110

LCM of 301/72, 9990/891

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 301/72,9990/891

Given numbers are 301/72,9990/891

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 301,9990

Least Common Multiple of Numerators i.e. LCM of 301,9990 is 3006990.

GCF of Denominators means GCF of 72,891 as per the given fractions.

GCF of 72,891 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,9990

LCM of Fractions 301/72,9990/891 is 334110

Given numbers has no common factors except 1. So, there LCM is their product i.e 3006990

Least Common Multiple of 301,9990 with GCF Formula

Least Common Multiple of 301,9990 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 301,9990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,9990) = 1

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

GCF(301,9990) x common factors =1 x 1 = 1

LCM(301,9990) = ( 301 × 9990 ) / 1

LCM(301,9990) = 3006990 / 1

LCM(301,9990) = 3006990


Lets's calculate GCF of 72,891

3 72, 891
3 24, 297
8, 99

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3006990/9

Therefore the LCM of Fractions 301/72,9990/891 is 334110

Greatest Common Factor of 72,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,891 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 72,891 . The biggest common factor number is the GCF number.
So the greatest common factor 72,891 is 9.


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Frequently Asked Questions on Fractional LCM of 301/72, 9990/891

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 301/72, 9990/891?

Answer: LCM of Numerators as per given numbers 301/72, 9990/891 is

LCM of Numerators i.e. for 301,9990 is 3006990

GCF of denominators i.e. for 72,891 is 9.

Thus, LCM of Fractions is 334110.Finally, LCM of Fractions for 301/72, 9990/891 is 334110.