Least Common Multiple of 89/22, 664/96, 912/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/22, 664/96, 912/672 quickly i.e. 3368472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/22, 664/96, 912/672 is 3368472.

LCM(89/22, 664/96, 912/672) = 3368472

LCM of 89/22, 664/96, 912/672

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 89/22,664/96,912/672

Given numbers are 89/22,664/96,912/672

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 89,664,912

Least Common Multiple of Numerators i.e. LCM of 89,664,912 is 6736944.

GCF of Denominators means GCF of 22,96,672 as per the given fractions.

GCF of 22,96,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,664,912

LCM of Fractions 89/22,664/96,912/672 is 3368472

2 89, 664, 912
2 89, 332, 456
2 89, 166, 228
89, 83, 114

∴ So the LCM of the given numbers is 2 x 2 x 2 x 89 x 83 x 114 = 6736944

Least Common Multiple of 89,664,912 with GCF Formula

Least Common Multiple of 89,664,912 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 89,664,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,664,912) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(89,664,912) x common factors =1 x 8 = 8

LCM(89,664,912) = ( 89 × 664 × 912 ) / 8

LCM(89,664,912) = 53895552 / 8

LCM(89,664,912) = 6736944


Lets's calculate GCF of 22,96,672

2 22, 96, 672
11, 48, 336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6736944/2

Therefore the LCM of Fractions 89/22,664/96,912/672 is 3368472

Greatest Common Factor of 22,96,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,96,672 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

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 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 22,96,672 . The biggest common factor number is the GCF number.
So the greatest common factor 22,96,672 is 2.


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 89/22, 664/96, 912/672

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 89/22, 664/96, 912/672?

Answer: LCM of Numerators as per given numbers 89/22, 664/96, 912/672 is

LCM of Numerators i.e. for 89,664,912 is 6736944

GCF of denominators i.e. for 22,96,672 is 2.

Thus, LCM of Fractions is 3368472.Finally, LCM of Fractions for 89/22, 664/96, 912/672 is 3368472.