Least Common Multiple of 9378/654, 1605/4705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9378/654, 1605/4705 quickly i.e. 5017230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9378/654, 1605/4705 is 5017230.

LCM(9378/654, 1605/4705) = 5017230

LCM of 9378/654, 1605/4705

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 9378/654,1605/4705

Given numbers are 9378/654,1605/4705

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 9378,1605

Least Common Multiple of Numerators i.e. LCM of 9378,1605 is 5017230.

GCF of Denominators means GCF of 654,4705 as per the given fractions.

GCF of 654,4705 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9378,1605

LCM of Fractions 9378/654,1605/4705 is 5017230

3 9378, 1605
3126, 535

∴ So the LCM of the given numbers is 3 x 3126 x 535 = 5017230

Least Common Multiple of 9378,1605 with GCF Formula

Least Common Multiple of 9378,1605 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 9378,1605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9378,1605) = 3

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

GCF(9378,1605) x common factors =3 x 1 = 3

LCM(9378,1605) = ( 9378 × 1605 ) / 3

LCM(9378,1605) = 15051690 / 3

LCM(9378,1605) = 5017230


Lets's calculate GCF of 654,4705

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5017230/1

Therefore the LCM of Fractions 9378/654,1605/4705 is 5017230

Greatest Common Factor of 654,4705 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,4705 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 4705

List of positive integer factors of 4705 that divides 4705 without a remainder.

1,5,941,4705

Greatest Common Factor

We found the factors 654,4705 . The biggest common factor number is the GCF number.
So the greatest common factor 654,4705 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 9378/654, 1605/4705

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 9378/654, 1605/4705?

Answer: LCM of Numerators as per given numbers 9378/654, 1605/4705 is

LCM of Numerators i.e. for 9378,1605 is 5017230

GCF of denominators i.e. for 654,4705 is 1.

Thus, LCM of Fractions is 5017230.Finally, LCM of Fractions for 9378/654, 1605/4705 is 5017230.