Least Common Multiple of 89/960, 48/156, 224/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/960, 48/156, 224/225 quickly i.e. 19936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/960, 48/156, 224/225 is 19936.

LCM(89/960, 48/156, 224/225) = 19936

LCM of 89/960, 48/156, 224/225

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 89/960,48/156,224/225

Given numbers are 89/960,48/156,224/225

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 89,48,224

Least Common Multiple of Numerators i.e. LCM of 89,48,224 is 59808.

GCF of Denominators means GCF of 960,156,225 as per the given fractions.

GCF of 960,156,225 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,48,224

LCM of Fractions 89/960,48/156,224/225 is 19936

2 89, 48, 224
2 89, 24, 112
2 89, 12, 56
2 89, 6, 28
89, 3, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 89 x 3 x 14 = 59808

Least Common Multiple of 89,48,224 with GCF Formula

Least Common Multiple of 89,48,224 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 89,48,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,48,224) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(89,48,224) x common factors =1 x 16 = 16

LCM(89,48,224) = ( 89 × 48 × 224 ) / 16

LCM(89,48,224) = 956928 / 16

LCM(89,48,224) = 59808


Lets's calculate GCF of 960,156,225

3 960, 156, 225
320, 52, 75

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59808/3

Therefore the LCM of Fractions 89/960,48/156,224/225 is 19936

Greatest Common Factor of 960,156,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,156,225 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 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 960,156,225 . The biggest common factor number is the GCF number.
So the greatest common factor 960,156,225 is 3.


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 89/960, 48/156, 224/225

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 89/960, 48/156, 224/225?

Answer: LCM of Numerators as per given numbers 89/960, 48/156, 224/225 is

LCM of Numerators i.e. for 89,48,224 is 59808

GCF of denominators i.e. for 960,156,225 is 3.

Thus, LCM of Fractions is 19936.Finally, LCM of Fractions for 89/960, 48/156, 224/225 is 19936.