Least Common Multiple of 3246/816, 2470/4110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3246/816, 2470/4110 quickly i.e. 668135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3246/816, 2470/4110 is 668135.

LCM(3246/816, 2470/4110) = 668135

LCM of 3246/816, 2470/4110

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 3246/816,2470/4110

Given numbers are 3246/816,2470/4110

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 3246,2470

Least Common Multiple of Numerators i.e. LCM of 3246,2470 is 4008810.

GCF of Denominators means GCF of 816,4110 as per the given fractions.

GCF of 816,4110 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3246,2470

LCM of Fractions 3246/816,2470/4110 is 668135

2 3246, 2470
1623, 1235

∴ So the LCM of the given numbers is 2 x 1623 x 1235 = 4008810

Least Common Multiple of 3246,2470 with GCF Formula

Least Common Multiple of 3246,2470 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 3246,2470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3246,2470) = 2

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

GCF(3246,2470) x common factors =2 x 1 = 2

LCM(3246,2470) = ( 3246 × 2470 ) / 2

LCM(3246,2470) = 8017620 / 2

LCM(3246,2470) = 4008810


Lets's calculate GCF of 816,4110

2 816, 4110
3 408, 2055
136, 685

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4008810/6

Therefore the LCM of Fractions 3246/816,2470/4110 is 668135

Greatest Common Factor of 816,4110 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,4110 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 4110

List of positive integer factors of 4110 that divides 4110 without a remainder.

1,2,3,5,6,10,15,30,137,274,411,685,822,1370,2055,4110

Greatest Common Factor

We found the factors 816,4110 . The biggest common factor number is the GCF number.
So the greatest common factor 816,4110 is 6.


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 3246/816, 2470/4110

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 3246/816, 2470/4110?

Answer: LCM of Numerators as per given numbers 3246/816, 2470/4110 is

LCM of Numerators i.e. for 3246,2470 is 4008810

GCF of denominators i.e. for 816,4110 is 6.

Thus, LCM of Fractions is 668135.Finally, LCM of Fractions for 3246/816, 2470/4110 is 668135.