Least Common Multiple of 240/291, 6871/3450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/291, 6871/3450 quickly i.e. 549680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/291, 6871/3450 is 549680.

LCM(240/291, 6871/3450) = 549680

LCM of 240/291, 6871/3450

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 240/291,6871/3450

Given numbers are 240/291,6871/3450

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 240,6871

Least Common Multiple of Numerators i.e. LCM of 240,6871 is 1649040.

GCF of Denominators means GCF of 291,3450 as per the given fractions.

GCF of 291,3450 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,6871

LCM of Fractions 240/291,6871/3450 is 549680

Given numbers has no common factors except 1. So, there LCM is their product i.e 1649040

Least Common Multiple of 240,6871 with GCF Formula

Least Common Multiple of 240,6871 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 240,6871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,6871) = 1

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

GCF(240,6871) x common factors =1 x 1 = 1

LCM(240,6871) = ( 240 × 6871 ) / 1

LCM(240,6871) = 1649040 / 1

LCM(240,6871) = 1649040


Lets's calculate GCF of 291,3450

3 291, 3450
97, 1150

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1649040/3

Therefore the LCM of Fractions 240/291,6871/3450 is 549680

Greatest Common Factor of 291,3450 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,3450 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 3450

List of positive integer factors of 3450 that divides 3450 without a remainder.

1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450

Greatest Common Factor

We found the factors 291,3450 . The biggest common factor number is the GCF number.
So the greatest common factor 291,3450 is 3.


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 240/291, 6871/3450

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 240/291, 6871/3450?

Answer: LCM of Numerators as per given numbers 240/291, 6871/3450 is

LCM of Numerators i.e. for 240,6871 is 1649040

GCF of denominators i.e. for 291,3450 is 3.

Thus, LCM of Fractions is 549680.Finally, LCM of Fractions for 240/291, 6871/3450 is 549680.