Least Common Multiple of 165/130, 790/780, 871/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/130, 790/780, 871/436 quickly i.e. 11353485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/130, 790/780, 871/436 is 11353485.

LCM(165/130, 790/780, 871/436) = 11353485

LCM of 165/130, 790/780, 871/436

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 165/130,790/780,871/436

Given numbers are 165/130,790/780,871/436

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 165,790,871

Least Common Multiple of Numerators i.e. LCM of 165,790,871 is 22706970.

GCF of Denominators means GCF of 130,780,436 as per the given fractions.

GCF of 130,780,436 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,790,871

LCM of Fractions 165/130,790/780,871/436 is 11353485

5 165, 790, 871
33, 158, 871

∴ So the LCM of the given numbers is 5 x 33 x 158 x 871 = 22706970

Least Common Multiple of 165,790,871 with GCF Formula

Least Common Multiple of 165,790,871 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 165,790,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,790,871) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(165,790,871) x common factors =1 x 5 = 5

LCM(165,790,871) = ( 165 × 790 × 871 ) / 5

LCM(165,790,871) = 113534850 / 5

LCM(165,790,871) = 22706970


Lets's calculate GCF of 130,780,436

2 130, 780, 436
65, 390, 218

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22706970/2

Therefore the LCM of Fractions 165/130,790/780,871/436 is 11353485

Greatest Common Factor of 130,780,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,780,436 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 130,780,436 . The biggest common factor number is the GCF number.
So the greatest common factor 130,780,436 is 2.


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 165/130, 790/780, 871/436

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 165/130, 790/780, 871/436?

Answer: LCM of Numerators as per given numbers 165/130, 790/780, 871/436 is

LCM of Numerators i.e. for 165,790,871 is 22706970

GCF of denominators i.e. for 130,780,436 is 2.

Thus, LCM of Fractions is 11353485.Finally, LCM of Fractions for 165/130, 790/780, 871/436 is 11353485.