Least Common Multiple of 96/816, 30/912, 337/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/816, 30/912, 337/176 quickly i.e. 10110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/816, 30/912, 337/176 is 10110.

LCM(96/816, 30/912, 337/176) = 10110

LCM of 96/816, 30/912, 337/176

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 96/816,30/912,337/176

Given numbers are 96/816,30/912,337/176

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 96,30,337

Least Common Multiple of Numerators i.e. LCM of 96,30,337 is 161760.

GCF of Denominators means GCF of 816,912,176 as per the given fractions.

GCF of 816,912,176 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,30,337

LCM of Fractions 96/816,30/912,337/176 is 10110

2 96, 30, 337
3 48, 15, 337
16, 5, 337

∴ So the LCM of the given numbers is 2 x 3 x 16 x 5 x 337 = 161760

Least Common Multiple of 96,30,337 with GCF Formula

Least Common Multiple of 96,30,337 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 96,30,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,30,337) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,30,337) x common factors =1 x 6 = 6

LCM(96,30,337) = ( 96 × 30 × 337 ) / 6

LCM(96,30,337) = 970560 / 6

LCM(96,30,337) = 161760


Lets's calculate GCF of 816,912,176

2 816, 912, 176
2 408, 456, 88
2 204, 228, 44
2 102, 114, 22
51, 57, 11

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161760/16

Therefore the LCM of Fractions 96/816,30/912,337/176 is 10110

Greatest Common Factor of 816,912,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,912,176 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 816,912,176 . The biggest common factor number is the GCF number.
So the greatest common factor 816,912,176 is 16.


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 96/816, 30/912, 337/176

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 96/816, 30/912, 337/176?

Answer: LCM of Numerators as per given numbers 96/816, 30/912, 337/176 is

LCM of Numerators i.e. for 96,30,337 is 161760

GCF of denominators i.e. for 816,912,176 is 16.

Thus, LCM of Fractions is 10110.Finally, LCM of Fractions for 96/816, 30/912, 337/176 is 10110.