Least Common Multiple of 364/960, 627/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/960, 627/144 quickly i.e. 228228/48 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/960, 627/144 is 228228/48.

LCM(364/960, 627/144) = 228228/48

LCM of 364/960, 627/144

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 364/960,627/144

Given numbers are 364/960,627/144

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 364,627

Least Common Multiple of Numerators i.e. LCM of 364,627 is 228228.

GCF of Denominators means GCF of 960,144 as per the given fractions.

GCF of 960,144 is 48 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,627

LCM of Fractions 364/960,627/144 is 228228/48

Given numbers has no common factors except 1. So, there LCM is their product i.e 228228

Least Common Multiple of 364,627 with GCF Formula

Least Common Multiple of 364,627 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 364,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,627) = 1

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

GCF(364,627) x common factors =1 x 1 = 1

LCM(364,627) = ( 364 × 627 ) / 1

LCM(364,627) = 228228 / 1

LCM(364,627) = 228228


Lets's calculate GCF of 960,144

2 960, 144
2 480, 72
2 240, 36
2 120, 18
3 60, 9
20, 3

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228228/48

Therefore the LCM of Fractions 364/960,627/144 is 228228/48

Greatest Common Factor of 960,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,144 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

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

Greatest Common Factor

We found the factors 960,144 . The biggest common factor number is the GCF number.
So the greatest common factor 960,144 is 48.


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 364/960, 627/144

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 364/960, 627/144?

Answer: LCM of Numerators as per given numbers 364/960, 627/144 is

LCM of Numerators i.e. for 364,627 is 228228

GCF of denominators i.e. for 960,144 is 48.

Thus, LCM of Fractions is 228228/48.Finally, LCM of Fractions for 364/960, 627/144 is 228228/48.