Least Common Multiple of 5664/368, 1155/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5664/368, 1155/428 quickly i.e. 545160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5664/368, 1155/428 is 545160.

LCM(5664/368, 1155/428) = 545160

LCM of 5664/368, 1155/428

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 5664/368,1155/428

Given numbers are 5664/368,1155/428

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 5664,1155

Least Common Multiple of Numerators i.e. LCM of 5664,1155 is 2180640.

GCF of Denominators means GCF of 368,428 as per the given fractions.

GCF of 368,428 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5664,1155

LCM of Fractions 5664/368,1155/428 is 545160

3 5664, 1155
1888, 385

∴ So the LCM of the given numbers is 3 x 1888 x 385 = 2180640

Least Common Multiple of 5664,1155 with GCF Formula

Least Common Multiple of 5664,1155 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 5664,1155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5664,1155) = 3

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

GCF(5664,1155) x common factors =3 x 1 = 3

LCM(5664,1155) = ( 5664 × 1155 ) / 3

LCM(5664,1155) = 6541920 / 3

LCM(5664,1155) = 2180640


Lets's calculate GCF of 368,428

2 368, 428
2 184, 214
92, 107

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2180640/4

Therefore the LCM of Fractions 5664/368,1155/428 is 545160

Greatest Common Factor of 368,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,428 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 368,428 . The biggest common factor number is the GCF number.
So the greatest common factor 368,428 is 4.


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 5664/368, 1155/428

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 5664/368, 1155/428?

Answer: LCM of Numerators as per given numbers 5664/368, 1155/428 is

LCM of Numerators i.e. for 5664,1155 is 2180640

GCF of denominators i.e. for 368,428 is 4.

Thus, LCM of Fractions is 545160.Finally, LCM of Fractions for 5664/368, 1155/428 is 545160.