Least Common Multiple of 8801/789, 5142/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8801/789, 5142/270 quickly i.e. 15084914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8801/789, 5142/270 is 15084914.

LCM(8801/789, 5142/270) = 15084914

LCM of 8801/789, 5142/270

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 8801/789,5142/270

Given numbers are 8801/789,5142/270

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 8801,5142

Least Common Multiple of Numerators i.e. LCM of 8801,5142 is 45254742.

GCF of Denominators means GCF of 789,270 as per the given fractions.

GCF of 789,270 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8801,5142

LCM of Fractions 8801/789,5142/270 is 15084914

Given numbers has no common factors except 1. So, there LCM is their product i.e 45254742

Least Common Multiple of 8801,5142 with GCF Formula

Least Common Multiple of 8801,5142 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 8801,5142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8801,5142) = 1

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

GCF(8801,5142) x common factors =1 x 1 = 1

LCM(8801,5142) = ( 8801 × 5142 ) / 1

LCM(8801,5142) = 45254742 / 1

LCM(8801,5142) = 45254742


Lets's calculate GCF of 789,270

3 789, 270
263, 90

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45254742/3

Therefore the LCM of Fractions 8801/789,5142/270 is 15084914

Greatest Common Factor of 789,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,270 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 789,270 . The biggest common factor number is the GCF number.
So the greatest common factor 789,270 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8801/789, 5142/270

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 8801/789, 5142/270?

Answer: LCM of Numerators as per given numbers 8801/789, 5142/270 is

LCM of Numerators i.e. for 8801,5142 is 45254742

GCF of denominators i.e. for 789,270 is 3.

Thus, LCM of Fractions is 15084914.Finally, LCM of Fractions for 8801/789, 5142/270 is 15084914.