Least Common Multiple of 905/96, 5922/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 905/96, 5922/224 quickly i.e. 5359410/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 905/96, 5922/224 is 5359410/32.

LCM(905/96, 5922/224) = 5359410/32

LCM of 905/96, 5922/224

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 905/96,5922/224

Given numbers are 905/96,5922/224

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 905,5922

Least Common Multiple of Numerators i.e. LCM of 905,5922 is 5359410.

GCF of Denominators means GCF of 96,224 as per the given fractions.

GCF of 96,224 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 905,5922

LCM of Fractions 905/96,5922/224 is 5359410/32

Given numbers has no common factors except 1. So, there LCM is their product i.e 5359410

Least Common Multiple of 905,5922 with GCF Formula

Least Common Multiple of 905,5922 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 905,5922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,5922) = 1

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

GCF(905,5922) x common factors =1 x 1 = 1

LCM(905,5922) = ( 905 × 5922 ) / 1

LCM(905,5922) = 5359410 / 1

LCM(905,5922) = 5359410


Lets's calculate GCF of 96,224

2 96, 224
2 48, 112
2 24, 56
2 12, 28
2 6, 14
3, 7

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5359410/32

Therefore the LCM of Fractions 905/96,5922/224 is 5359410/32

Greatest Common Factor of 96,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,224 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

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 96,224 . The biggest common factor number is the GCF number.
So the greatest common factor 96,224 is 32.


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 905/96, 5922/224

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 905/96, 5922/224?

Answer: LCM of Numerators as per given numbers 905/96, 5922/224 is

LCM of Numerators i.e. for 905,5922 is 5359410

GCF of denominators i.e. for 96,224 is 32.

Thus, LCM of Fractions is 5359410/32.Finally, LCM of Fractions for 905/96, 5922/224 is 5359410/32.