Least Common Multiple of 368/91, 456/10, 576/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 368/91, 456/10, 576/224 quickly i.e. 251712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/91, 456/10, 576/224 is 251712.

LCM(368/91, 456/10, 576/224) = 251712

LCM of 368/91, 456/10, 576/224

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 368/91,456/10,576/224

Given numbers are 368/91,456/10,576/224

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 368,456,576

Least Common Multiple of Numerators i.e. LCM of 368,456,576 is 251712.

GCF of Denominators means GCF of 91,10,224 as per the given fractions.

GCF of 91,10,224 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,456,576

LCM of Fractions 368/91,456/10,576/224 is 251712

2 368, 456, 576
2 184, 228, 288
2 92, 114, 144
2 46, 57, 72
3 23, 57, 36
23, 19, 12

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 23 x 19 x 12 = 251712

Least Common Multiple of 368,456,576 with GCF Formula

Least Common Multiple of 368,456,576 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 368,456,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,456,576) = 8

common factors(in case of two or more numbers have common factors) = 48

GCF(368,456,576) x common factors =8 x 48 = 384

LCM(368,456,576) = ( 368 × 456 × 576 ) / 384

LCM(368,456,576) = 96657408 / 384

LCM(368,456,576) = 251712


Lets's calculate GCF of 91,10,224

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251712/1

Therefore the LCM of Fractions 368/91,456/10,576/224 is 251712

Greatest Common Factor of 91,10,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,10,224 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 91,10,224 . The biggest common factor number is the GCF number.
So the greatest common factor 91,10,224 is 1.


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 368/91, 456/10, 576/224

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 368/91, 456/10, 576/224?

Answer: LCM of Numerators as per given numbers 368/91, 456/10, 576/224 is

LCM of Numerators i.e. for 368,456,576 is 251712

GCF of denominators i.e. for 91,10,224 is 1.

Thus, LCM of Fractions is 251712.Finally, LCM of Fractions for 368/91, 456/10, 576/224 is 251712.