Least Common Multiple of 3871/958, 7610/3086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3871/958, 7610/3086 quickly i.e. 14729155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3871/958, 7610/3086 is 14729155.

LCM(3871/958, 7610/3086) = 14729155

LCM of 3871/958, 7610/3086

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 3871/958,7610/3086

Given numbers are 3871/958,7610/3086

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 3871,7610

Least Common Multiple of Numerators i.e. LCM of 3871,7610 is 29458310.

GCF of Denominators means GCF of 958,3086 as per the given fractions.

GCF of 958,3086 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3871,7610

LCM of Fractions 3871/958,7610/3086 is 14729155

Given numbers has no common factors except 1. So, there LCM is their product i.e 29458310

Least Common Multiple of 3871,7610 with GCF Formula

Least Common Multiple of 3871,7610 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 3871,7610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3871,7610) = 1

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

GCF(3871,7610) x common factors =1 x 1 = 1

LCM(3871,7610) = ( 3871 × 7610 ) / 1

LCM(3871,7610) = 29458310 / 1

LCM(3871,7610) = 29458310


Lets's calculate GCF of 958,3086

2 958, 3086
479, 1543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29458310/2

Therefore the LCM of Fractions 3871/958,7610/3086 is 14729155

Greatest Common Factor of 958,3086 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,3086 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 3086

List of positive integer factors of 3086 that divides 3086 without a remainder.

1,2,1543,3086

Greatest Common Factor

We found the factors 958,3086 . The biggest common factor number is the GCF number.
So the greatest common factor 958,3086 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 3871/958, 7610/3086

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 3871/958, 7610/3086?

Answer: LCM of Numerators as per given numbers 3871/958, 7610/3086 is

LCM of Numerators i.e. for 3871,7610 is 29458310

GCF of denominators i.e. for 958,3086 is 2.

Thus, LCM of Fractions is 14729155.Finally, LCM of Fractions for 3871/958, 7610/3086 is 14729155.