Least Common Multiple of 9014/322, 3594/9972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9014/322, 3594/9972 quickly i.e. 8099079 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9014/322, 3594/9972 is 8099079.

LCM(9014/322, 3594/9972) = 8099079

LCM of 9014/322, 3594/9972

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 9014/322,3594/9972

Given numbers are 9014/322,3594/9972

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 9014,3594

Least Common Multiple of Numerators i.e. LCM of 9014,3594 is 16198158.

GCF of Denominators means GCF of 322,9972 as per the given fractions.

GCF of 322,9972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9014,3594

LCM of Fractions 9014/322,3594/9972 is 8099079

2 9014, 3594
4507, 1797

∴ So the LCM of the given numbers is 2 x 4507 x 1797 = 16198158

Least Common Multiple of 9014,3594 with GCF Formula

Least Common Multiple of 9014,3594 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 9014,3594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9014,3594) = 2

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

GCF(9014,3594) x common factors =2 x 1 = 2

LCM(9014,3594) = ( 9014 × 3594 ) / 2

LCM(9014,3594) = 32396316 / 2

LCM(9014,3594) = 16198158


Lets's calculate GCF of 322,9972

2 322, 9972
161, 4986

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16198158/2

Therefore the LCM of Fractions 9014/322,3594/9972 is 8099079

Greatest Common Factor of 322,9972 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,9972 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 9972

List of positive integer factors of 9972 that divides 9972 without a remainder.

1,2,3,4,6,9,12,18,36,277,554,831,1108,1662,2493,3324,4986,9972

Greatest Common Factor

We found the factors 322,9972 . The biggest common factor number is the GCF number.
So the greatest common factor 322,9972 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 9014/322, 3594/9972

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 9014/322, 3594/9972?

Answer: LCM of Numerators as per given numbers 9014/322, 3594/9972 is

LCM of Numerators i.e. for 9014,3594 is 16198158

GCF of denominators i.e. for 322,9972 is 2.

Thus, LCM of Fractions is 8099079.Finally, LCM of Fractions for 9014/322, 3594/9972 is 8099079.