Least Common Multiple of 96/288, 906/374, 407/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/288, 906/374, 407/175 quickly i.e. 5899872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/288, 906/374, 407/175 is 5899872.

LCM(96/288, 906/374, 407/175) = 5899872

LCM of 96/288, 906/374, 407/175

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 96/288,906/374,407/175

Given numbers are 96/288,906/374,407/175

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 96,906,407

Least Common Multiple of Numerators i.e. LCM of 96,906,407 is 5899872.

GCF of Denominators means GCF of 288,374,175 as per the given fractions.

GCF of 288,374,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,906,407

LCM of Fractions 96/288,906/374,407/175 is 5899872

2 96, 906, 407
3 48, 453, 407
16, 151, 407

∴ So the LCM of the given numbers is 2 x 3 x 16 x 151 x 407 = 5899872

Least Common Multiple of 96,906,407 with GCF Formula

Least Common Multiple of 96,906,407 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 96,906,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,906,407) = 1

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

GCF(96,906,407) x common factors =1 x 6 = 6

LCM(96,906,407) = ( 96 × 906 × 407 ) / 6

LCM(96,906,407) = 35399232 / 6

LCM(96,906,407) = 5899872


Lets's calculate GCF of 288,374,175

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5899872/1

Therefore the LCM of Fractions 96/288,906/374,407/175 is 5899872

Greatest Common Factor of 288,374,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,374,175 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 288,374,175 . The biggest common factor number is the GCF number.
So the greatest common factor 288,374,175 is 1.


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 96/288, 906/374, 407/175

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 96/288, 906/374, 407/175?

Answer: LCM of Numerators as per given numbers 96/288, 906/374, 407/175 is

LCM of Numerators i.e. for 96,906,407 is 5899872

GCF of denominators i.e. for 288,374,175 is 1.

Thus, LCM of Fractions is 5899872.Finally, LCM of Fractions for 96/288, 906/374, 407/175 is 5899872.