Least Common Multiple of 15/308, 900/577, 108/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/308, 900/577, 108/146 quickly i.e. 2700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/308, 900/577, 108/146 is 2700.

LCM(15/308, 900/577, 108/146) = 2700

LCM of 15/308, 900/577, 108/146

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 15/308,900/577,108/146

Given numbers are 15/308,900/577,108/146

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 15,900,108

Least Common Multiple of Numerators i.e. LCM of 15,900,108 is 2700.

GCF of Denominators means GCF of 308,577,146 as per the given fractions.

GCF of 308,577,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,900,108

LCM of Fractions 15/308,900/577,108/146 is 2700

2 15, 900, 108
2 15, 450, 54
3 15, 225, 27
3 5, 75, 9
5 5, 25, 3
1, 5, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 5 x 3 = 2700

Least Common Multiple of 15,900,108 with GCF Formula

Least Common Multiple of 15,900,108 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 15,900,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,900,108) = 3

common factors(in case of two or more numbers have common factors) = 180

GCF(15,900,108) x common factors =3 x 180 = 540

LCM(15,900,108) = ( 15 × 900 × 108 ) / 540

LCM(15,900,108) = 1458000 / 540

LCM(15,900,108) = 2700


Lets's calculate GCF of 308,577,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2700/1

Therefore the LCM of Fractions 15/308,900/577,108/146 is 2700

Greatest Common Factor of 308,577,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,577,146 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 308,577,146 . The biggest common factor number is the GCF number.
So the greatest common factor 308,577,146 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 15/308, 900/577, 108/146

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 15/308, 900/577, 108/146?

Answer: LCM of Numerators as per given numbers 15/308, 900/577, 108/146 is

LCM of Numerators i.e. for 15,900,108 is 2700

GCF of denominators i.e. for 308,577,146 is 1.

Thus, LCM of Fractions is 2700.Finally, LCM of Fractions for 15/308, 900/577, 108/146 is 2700.