Least Common Multiple of 871/41, 149/9284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/41, 149/9284 quickly i.e. 129779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/41, 149/9284 is 129779.

LCM(871/41, 149/9284) = 129779

LCM of 871/41, 149/9284

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 871/41,149/9284

Given numbers are 871/41,149/9284

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 871,149

Least Common Multiple of Numerators i.e. LCM of 871,149 is 129779.

GCF of Denominators means GCF of 41,9284 as per the given fractions.

GCF of 41,9284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,149

LCM of Fractions 871/41,149/9284 is 129779

Given numbers has no common factors except 1. So, there LCM is their product i.e 129779

Least Common Multiple of 871,149 with GCF Formula

Least Common Multiple of 871,149 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 871,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,149) = 1

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

GCF(871,149) x common factors =1 x 1 = 1

LCM(871,149) = ( 871 × 149 ) / 1

LCM(871,149) = 129779 / 1

LCM(871,149) = 129779


Lets's calculate GCF of 41,9284

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129779/1

Therefore the LCM of Fractions 871/41,149/9284 is 129779

Greatest Common Factor of 41,9284 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,9284 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 9284

List of positive integer factors of 9284 that divides 9284 without a remainder.

1,2,4,11,22,44,211,422,844,2321,4642,9284

Greatest Common Factor

We found the factors 41,9284 . The biggest common factor number is the GCF number.
So the greatest common factor 41,9284 is 1.


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 871/41, 149/9284

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 871/41, 149/9284?

Answer: LCM of Numerators as per given numbers 871/41, 149/9284 is

LCM of Numerators i.e. for 871,149 is 129779

GCF of denominators i.e. for 41,9284 is 1.

Thus, LCM of Fractions is 129779.Finally, LCM of Fractions for 871/41, 149/9284 is 129779.