Least Common Multiple of 9368/144, 4649/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9368/144, 4649/602 quickly i.e. 21775916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9368/144, 4649/602 is 21775916.

LCM(9368/144, 4649/602) = 21775916

LCM of 9368/144, 4649/602

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 9368/144,4649/602

Given numbers are 9368/144,4649/602

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 9368,4649

Least Common Multiple of Numerators i.e. LCM of 9368,4649 is 43551832.

GCF of Denominators means GCF of 144,602 as per the given fractions.

GCF of 144,602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9368,4649

LCM of Fractions 9368/144,4649/602 is 21775916

Given numbers has no common factors except 1. So, there LCM is their product i.e 43551832

Least Common Multiple of 9368,4649 with GCF Formula

Least Common Multiple of 9368,4649 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 9368,4649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9368,4649) = 1

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

GCF(9368,4649) x common factors =1 x 1 = 1

LCM(9368,4649) = ( 9368 × 4649 ) / 1

LCM(9368,4649) = 43551832 / 1

LCM(9368,4649) = 43551832


Lets's calculate GCF of 144,602

2 144, 602
72, 301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43551832/2

Therefore the LCM of Fractions 9368/144,4649/602 is 21775916

Greatest Common Factor of 144,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,602 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 144,602 . The biggest common factor number is the GCF number.
So the greatest common factor 144,602 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 9368/144, 4649/602

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 9368/144, 4649/602?

Answer: LCM of Numerators as per given numbers 9368/144, 4649/602 is

LCM of Numerators i.e. for 9368,4649 is 43551832

GCF of denominators i.e. for 144,602 is 2.

Thus, LCM of Fractions is 21775916.Finally, LCM of Fractions for 9368/144, 4649/602 is 21775916.