Least Common Multiple of 94/512, 3150/4844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/512, 3150/4844 quickly i.e. 148050/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/512, 3150/4844 is 148050/4.

LCM(94/512, 3150/4844) = 148050/4

LCM of 94/512, 3150/4844

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 94/512,3150/4844

Given numbers are 94/512,3150/4844

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 94,3150

Least Common Multiple of Numerators i.e. LCM of 94,3150 is 148050.

GCF of Denominators means GCF of 512,4844 as per the given fractions.

GCF of 512,4844 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,3150

LCM of Fractions 94/512,3150/4844 is 148050/4

2 94, 3150
47, 1575

∴ So the LCM of the given numbers is 2 x 47 x 1575 = 148050

Least Common Multiple of 94,3150 with GCF Formula

Least Common Multiple of 94,3150 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 94,3150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,3150) = 2

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

GCF(94,3150) x common factors =2 x 1 = 2

LCM(94,3150) = ( 94 × 3150 ) / 2

LCM(94,3150) = 296100 / 2

LCM(94,3150) = 148050


Lets's calculate GCF of 512,4844

2 512, 4844
2 256, 2422
128, 1211

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148050/4

Therefore the LCM of Fractions 94/512,3150/4844 is 148050/4

Greatest Common Factor of 512,4844 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,4844 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 4844

List of positive integer factors of 4844 that divides 4844 without a remainder.

1,2,4,7,14,28,173,346,692,1211,2422,4844

Greatest Common Factor

We found the factors 512,4844 . The biggest common factor number is the GCF number.
So the greatest common factor 512,4844 is 4.


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 94/512, 3150/4844

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 94/512, 3150/4844?

Answer: LCM of Numerators as per given numbers 94/512, 3150/4844 is

LCM of Numerators i.e. for 94,3150 is 148050

GCF of denominators i.e. for 512,4844 is 4.

Thus, LCM of Fractions is 148050/4.Finally, LCM of Fractions for 94/512, 3150/4844 is 148050/4.