Least Common Multiple of 871/42, 584/12, 215/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/42, 584/12, 215/122 quickly i.e. 54681380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/42, 584/12, 215/122 is 54681380.

LCM(871/42, 584/12, 215/122) = 54681380

LCM of 871/42, 584/12, 215/122

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 871/42,584/12,215/122

Given numbers are 871/42,584/12,215/122

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 871,584,215

Least Common Multiple of Numerators i.e. LCM of 871,584,215 is 109362760.

GCF of Denominators means GCF of 42,12,122 as per the given fractions.

GCF of 42,12,122 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,584,215

LCM of Fractions 871/42,584/12,215/122 is 54681380

Given numbers has no common factors except 1. So, there LCM is their product i.e 109362760

Least Common Multiple of 871,584,215 with GCF Formula

Least Common Multiple of 871,584,215 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 871,584,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,584,215) = 1

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

GCF(871,584,215) x common factors =1 x 1 = 1

LCM(871,584,215) = ( 871 × 584 × 215 ) / 1

LCM(871,584,215) = 109362760 / 1

LCM(871,584,215) = 109362760


Lets's calculate GCF of 42,12,122

2 42, 12, 122
21, 6, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109362760/2

Therefore the LCM of Fractions 871/42,584/12,215/122 is 54681380

Greatest Common Factor of 42,12,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,12,122 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 42,12,122 . The biggest common factor number is the GCF number.
So the greatest common factor 42,12,122 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 871/42, 584/12, 215/122

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 871/42, 584/12, 215/122?

Answer: LCM of Numerators as per given numbers 871/42, 584/12, 215/122 is

LCM of Numerators i.e. for 871,584,215 is 109362760

GCF of denominators i.e. for 42,12,122 is 2.

Thus, LCM of Fractions is 54681380.Finally, LCM of Fractions for 871/42, 584/12, 215/122 is 54681380.