Least Common Multiple of 96/408, 13/892, 361/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/408, 13/892, 361/228 quickly i.e. 112632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/408, 13/892, 361/228 is 112632.

LCM(96/408, 13/892, 361/228) = 112632

LCM of 96/408, 13/892, 361/228

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 96/408,13/892,361/228

Given numbers are 96/408,13/892,361/228

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 96,13,361

Least Common Multiple of Numerators i.e. LCM of 96,13,361 is 450528.

GCF of Denominators means GCF of 408,892,228 as per the given fractions.

GCF of 408,892,228 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,13,361

LCM of Fractions 96/408,13/892,361/228 is 112632

Given numbers has no common factors except 1. So, there LCM is their product i.e 450528

Least Common Multiple of 96,13,361 with GCF Formula

Least Common Multiple of 96,13,361 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 96,13,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,13,361) = 1

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

GCF(96,13,361) x common factors =1 x 1 = 1

LCM(96,13,361) = ( 96 × 13 × 361 ) / 1

LCM(96,13,361) = 450528 / 1

LCM(96,13,361) = 450528


Lets's calculate GCF of 408,892,228

2 408, 892, 228
2 204, 446, 114
102, 223, 57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450528/4

Therefore the LCM of Fractions 96/408,13/892,361/228 is 112632

Greatest Common Factor of 408,892,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,892,228 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 408,892,228 . The biggest common factor number is the GCF number.
So the greatest common factor 408,892,228 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 96/408, 13/892, 361/228

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 96/408, 13/892, 361/228?

Answer: LCM of Numerators as per given numbers 96/408, 13/892, 361/228 is

LCM of Numerators i.e. for 96,13,361 is 450528

GCF of denominators i.e. for 408,892,228 is 4.

Thus, LCM of Fractions is 112632.Finally, LCM of Fractions for 96/408, 13/892, 361/228 is 112632.