Least Common Multiple of 4074/909, 7647/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4074/909, 7647/978 quickly i.e. 3461542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4074/909, 7647/978 is 3461542.

LCM(4074/909, 7647/978) = 3461542

LCM of 4074/909, 7647/978

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 4074/909,7647/978

Given numbers are 4074/909,7647/978

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 4074,7647

Least Common Multiple of Numerators i.e. LCM of 4074,7647 is 10384626.

GCF of Denominators means GCF of 909,978 as per the given fractions.

GCF of 909,978 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4074,7647

LCM of Fractions 4074/909,7647/978 is 3461542

3 4074, 7647
1358, 2549

∴ So the LCM of the given numbers is 3 x 1358 x 2549 = 10384626

Least Common Multiple of 4074,7647 with GCF Formula

Least Common Multiple of 4074,7647 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 4074,7647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4074,7647) = 3

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

GCF(4074,7647) x common factors =3 x 1 = 3

LCM(4074,7647) = ( 4074 × 7647 ) / 3

LCM(4074,7647) = 31153878 / 3

LCM(4074,7647) = 10384626


Lets's calculate GCF of 909,978

3 909, 978
303, 326

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10384626/3

Therefore the LCM of Fractions 4074/909,7647/978 is 3461542

Greatest Common Factor of 909,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,978 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 909,978 . The biggest common factor number is the GCF number.
So the greatest common factor 909,978 is 3.


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 4074/909, 7647/978

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 4074/909, 7647/978?

Answer: LCM of Numerators as per given numbers 4074/909, 7647/978 is

LCM of Numerators i.e. for 4074,7647 is 10384626

GCF of denominators i.e. for 909,978 is 3.

Thus, LCM of Fractions is 3461542.Finally, LCM of Fractions for 4074/909, 7647/978 is 3461542.