Least Common Multiple of 871/86, 670/30, 105/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/86, 670/30, 105/106 quickly i.e. 91455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/86, 670/30, 105/106 is 91455.

LCM(871/86, 670/30, 105/106) = 91455

LCM of 871/86, 670/30, 105/106

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 871/86,670/30,105/106

Given numbers are 871/86,670/30,105/106

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 871,670,105

Least Common Multiple of Numerators i.e. LCM of 871,670,105 is 182910.

GCF of Denominators means GCF of 86,30,106 as per the given fractions.

GCF of 86,30,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,670,105

LCM of Fractions 871/86,670/30,105/106 is 91455

5 871, 670, 105
67 871, 134, 21
13, 2, 21

∴ So the LCM of the given numbers is 5 x 67 x 13 x 2 x 21 = 182910

Least Common Multiple of 871,670,105 with GCF Formula

Least Common Multiple of 871,670,105 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 871,670,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,670,105) = 1

common factors(in case of two or more numbers have common factors) = 335

GCF(871,670,105) x common factors =1 x 335 = 335

LCM(871,670,105) = ( 871 × 670 × 105 ) / 335

LCM(871,670,105) = 61274850 / 335

LCM(871,670,105) = 182910


Lets's calculate GCF of 86,30,106

2 86, 30, 106
43, 15, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182910/2

Therefore the LCM of Fractions 871/86,670/30,105/106 is 91455

Greatest Common Factor of 86,30,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,30,106 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 86,30,106 . The biggest common factor number is the GCF number.
So the greatest common factor 86,30,106 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 871/86, 670/30, 105/106

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 871/86, 670/30, 105/106?

Answer: LCM of Numerators as per given numbers 871/86, 670/30, 105/106 is

LCM of Numerators i.e. for 871,670,105 is 182910

GCF of denominators i.e. for 86,30,106 is 2.

Thus, LCM of Fractions is 91455.Finally, LCM of Fractions for 871/86, 670/30, 105/106 is 91455.