Least Common Multiple of 390/28, 642/96, 896/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/28, 642/96, 896/175 quickly i.e. 18695040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/28, 642/96, 896/175 is 18695040.

LCM(390/28, 642/96, 896/175) = 18695040

LCM of 390/28, 642/96, 896/175

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 390/28,642/96,896/175

Given numbers are 390/28,642/96,896/175

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 390,642,896

Least Common Multiple of Numerators i.e. LCM of 390,642,896 is 18695040.

GCF of Denominators means GCF of 28,96,175 as per the given fractions.

GCF of 28,96,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,642,896

LCM of Fractions 390/28,642/96,896/175 is 18695040

2 390, 642, 896
3 195, 321, 448
65, 107, 448

∴ So the LCM of the given numbers is 2 x 3 x 65 x 107 x 448 = 18695040

Least Common Multiple of 390,642,896 with GCF Formula

Least Common Multiple of 390,642,896 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 390,642,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,642,896) = 2

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

GCF(390,642,896) x common factors =2 x 6 = 12

LCM(390,642,896) = ( 390 × 642 × 896 ) / 12

LCM(390,642,896) = 224340480 / 12

LCM(390,642,896) = 18695040


Lets's calculate GCF of 28,96,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18695040/1

Therefore the LCM of Fractions 390/28,642/96,896/175 is 18695040

Greatest Common Factor of 28,96,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,96,175 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

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 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 28,96,175 . The biggest common factor number is the GCF number.
So the greatest common factor 28,96,175 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 390/28, 642/96, 896/175

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 390/28, 642/96, 896/175?

Answer: LCM of Numerators as per given numbers 390/28, 642/96, 896/175 is

LCM of Numerators i.e. for 390,642,896 is 18695040

GCF of denominators i.e. for 28,96,175 is 1.

Thus, LCM of Fractions is 18695040.Finally, LCM of Fractions for 390/28, 642/96, 896/175 is 18695040.