Least Common Multiple of 915/16, 125/2455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 915/16, 125/2455 quickly i.e. 22875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 915/16, 125/2455 is 22875.

LCM(915/16, 125/2455) = 22875

LCM of 915/16, 125/2455

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 915/16,125/2455

Given numbers are 915/16,125/2455

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 915,125

Least Common Multiple of Numerators i.e. LCM of 915,125 is 22875.

GCF of Denominators means GCF of 16,2455 as per the given fractions.

GCF of 16,2455 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 915,125

LCM of Fractions 915/16,125/2455 is 22875

5 915, 125
183, 25

∴ So the LCM of the given numbers is 5 x 183 x 25 = 22875

Least Common Multiple of 915,125 with GCF Formula

Least Common Multiple of 915,125 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 915,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,125) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(915,125) x common factors =5 x 1 = 5

LCM(915,125) = ( 915 × 125 ) / 5

LCM(915,125) = 114375 / 5

LCM(915,125) = 22875


Lets's calculate GCF of 16,2455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22875/1

Therefore the LCM of Fractions 915/16,125/2455 is 22875

Greatest Common Factor of 16,2455 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,2455 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 2455

List of positive integer factors of 2455 that divides 2455 without a remainder.

1,5,491,2455

Greatest Common Factor

We found the factors 16,2455 . The biggest common factor number is the GCF number.
So the greatest common factor 16,2455 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 915/16, 125/2455

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 915/16, 125/2455?

Answer: LCM of Numerators as per given numbers 915/16, 125/2455 is

LCM of Numerators i.e. for 915,125 is 22875

GCF of denominators i.e. for 16,2455 is 1.

Thus, LCM of Fractions is 22875.Finally, LCM of Fractions for 915/16, 125/2455 is 22875.