Least Common Multiple of 363/564, 301/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/564, 301/168 quickly i.e. 109263/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/564, 301/168 is 109263/12.

LCM(363/564, 301/168) = 109263/12

LCM of 363/564, 301/168

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 363/564,301/168

Given numbers are 363/564,301/168

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 363,301

Least Common Multiple of Numerators i.e. LCM of 363,301 is 109263.

GCF of Denominators means GCF of 564,168 as per the given fractions.

GCF of 564,168 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,301

LCM of Fractions 363/564,301/168 is 109263/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 109263

Least Common Multiple of 363,301 with GCF Formula

Least Common Multiple of 363,301 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 363,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,301) = 1

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

GCF(363,301) x common factors =1 x 1 = 1

LCM(363,301) = ( 363 × 301 ) / 1

LCM(363,301) = 109263 / 1

LCM(363,301) = 109263


Lets's calculate GCF of 564,168

2 564, 168
2 282, 84
3 141, 42
47, 14

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109263/12

Therefore the LCM of Fractions 363/564,301/168 is 109263/12

Greatest Common Factor of 564,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,168 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 564,168 . The biggest common factor number is the GCF number.
So the greatest common factor 564,168 is 12.


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 363/564, 301/168

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 363/564, 301/168?

Answer: LCM of Numerators as per given numbers 363/564, 301/168 is

LCM of Numerators i.e. for 363,301 is 109263

GCF of denominators i.e. for 564,168 is 12.

Thus, LCM of Fractions is 109263/12.Finally, LCM of Fractions for 363/564, 301/168 is 109263/12.