Least Common Multiple of 9005/160, 4902/6810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9005/160, 4902/6810 quickly i.e. 4414251 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9005/160, 4902/6810 is 4414251.

LCM(9005/160, 4902/6810) = 4414251

LCM of 9005/160, 4902/6810

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 9005/160,4902/6810

Given numbers are 9005/160,4902/6810

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 9005,4902

Least Common Multiple of Numerators i.e. LCM of 9005,4902 is 44142510.

GCF of Denominators means GCF of 160,6810 as per the given fractions.

GCF of 160,6810 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9005,4902

LCM of Fractions 9005/160,4902/6810 is 4414251

Given numbers has no common factors except 1. So, there LCM is their product i.e 44142510

Least Common Multiple of 9005,4902 with GCF Formula

Least Common Multiple of 9005,4902 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 9005,4902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9005,4902) = 1

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

GCF(9005,4902) x common factors =1 x 1 = 1

LCM(9005,4902) = ( 9005 × 4902 ) / 1

LCM(9005,4902) = 44142510 / 1

LCM(9005,4902) = 44142510


Lets's calculate GCF of 160,6810

2 160, 6810
5 80, 3405
16, 681

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44142510/10

Therefore the LCM of Fractions 9005/160,4902/6810 is 4414251

Greatest Common Factor of 160,6810 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,6810 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 6810

List of positive integer factors of 6810 that divides 6810 without a remainder.

1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810

Greatest Common Factor

We found the factors 160,6810 . The biggest common factor number is the GCF number.
So the greatest common factor 160,6810 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9005/160, 4902/6810

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 9005/160, 4902/6810?

Answer: LCM of Numerators as per given numbers 9005/160, 4902/6810 is

LCM of Numerators i.e. for 9005,4902 is 44142510

GCF of denominators i.e. for 160,6810 is 10.

Thus, LCM of Fractions is 4414251.Finally, LCM of Fractions for 9005/160, 4902/6810 is 4414251.