Least Common Multiple of 888/49, 512/38, 975/11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 888/49, 512/38, 975/11 quickly i.e. 18470400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 888/49, 512/38, 975/11 is 18470400.

LCM(888/49, 512/38, 975/11) = 18470400

LCM of 888/49, 512/38, 975/11

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 888/49,512/38,975/11

Given numbers are 888/49,512/38,975/11

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 888,512,975

Least Common Multiple of Numerators i.e. LCM of 888,512,975 is 18470400.

GCF of Denominators means GCF of 49,38,11 as per the given fractions.

GCF of 49,38,11 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 888,512,975

LCM of Fractions 888/49,512/38,975/11 is 18470400

2 888, 512, 975
2 444, 256, 975
2 222, 128, 975
3 111, 64, 975
37, 64, 325

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 37 x 64 x 325 = 18470400

Least Common Multiple of 888,512,975 with GCF Formula

Least Common Multiple of 888,512,975 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 888,512,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,512,975) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(888,512,975) x common factors =1 x 24 = 24

LCM(888,512,975) = ( 888 × 512 × 975 ) / 24

LCM(888,512,975) = 443289600 / 24

LCM(888,512,975) = 18470400


Lets's calculate GCF of 49,38,11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18470400/1

Therefore the LCM of Fractions 888/49,512/38,975/11 is 18470400

Greatest Common Factor of 49,38,11 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,38,11 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Greatest Common Factor

We found the factors 49,38,11 . The biggest common factor number is the GCF number.
So the greatest common factor 49,38,11 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 888/49, 512/38, 975/11

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 888/49, 512/38, 975/11?

Answer: LCM of Numerators as per given numbers 888/49, 512/38, 975/11 is

LCM of Numerators i.e. for 888,512,975 is 18470400

GCF of denominators i.e. for 49,38,11 is 1.

Thus, LCM of Fractions is 18470400.Finally, LCM of Fractions for 888/49, 512/38, 975/11 is 18470400.