Least Common Multiple of 4947/906, 4361/1074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4947/906, 4361/1074 quickly i.e. 21573867/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4947/906, 4361/1074 is 21573867/6.

LCM(4947/906, 4361/1074) = 21573867/6

LCM of 4947/906, 4361/1074

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 4947/906,4361/1074

Given numbers are 4947/906,4361/1074

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 4947,4361

Least Common Multiple of Numerators i.e. LCM of 4947,4361 is 21573867.

GCF of Denominators means GCF of 906,1074 as per the given fractions.

GCF of 906,1074 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4947,4361

LCM of Fractions 4947/906,4361/1074 is 21573867/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 21573867

Least Common Multiple of 4947,4361 with GCF Formula

Least Common Multiple of 4947,4361 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 4947,4361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4947,4361) = 1

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

GCF(4947,4361) x common factors =1 x 1 = 1

LCM(4947,4361) = ( 4947 × 4361 ) / 1

LCM(4947,4361) = 21573867 / 1

LCM(4947,4361) = 21573867


Lets's calculate GCF of 906,1074

2 906, 1074
3 453, 537
151, 179

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21573867/6

Therefore the LCM of Fractions 4947/906,4361/1074 is 21573867/6

Greatest Common Factor of 906,1074 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,1074 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 1074

List of positive integer factors of 1074 that divides 1074 without a remainder.

1,2,3,6,179,358,537,1074

Greatest Common Factor

We found the factors 906,1074 . The biggest common factor number is the GCF number.
So the greatest common factor 906,1074 is 6.


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 4947/906, 4361/1074

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 4947/906, 4361/1074?

Answer: LCM of Numerators as per given numbers 4947/906, 4361/1074 is

LCM of Numerators i.e. for 4947,4361 is 21573867

GCF of denominators i.e. for 906,1074 is 6.

Thus, LCM of Fractions is 21573867/6.Finally, LCM of Fractions for 4947/906, 4361/1074 is 21573867/6.