Least Common Multiple of 2700/902, 8214/3694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2700/902, 8214/3694 quickly i.e. 1848150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2700/902, 8214/3694 is 1848150.

LCM(2700/902, 8214/3694) = 1848150

LCM of 2700/902, 8214/3694

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 2700/902,8214/3694

Given numbers are 2700/902,8214/3694

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 2700,8214

Least Common Multiple of Numerators i.e. LCM of 2700,8214 is 3696300.

GCF of Denominators means GCF of 902,3694 as per the given fractions.

GCF of 902,3694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2700,8214

LCM of Fractions 2700/902,8214/3694 is 1848150

2 2700, 8214
3 1350, 4107
450, 1369

∴ So the LCM of the given numbers is 2 x 3 x 450 x 1369 = 3696300

Least Common Multiple of 2700,8214 with GCF Formula

Least Common Multiple of 2700,8214 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 2700,8214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2700,8214) = 6

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

GCF(2700,8214) x common factors =6 x 1 = 6

LCM(2700,8214) = ( 2700 × 8214 ) / 6

LCM(2700,8214) = 22177800 / 6

LCM(2700,8214) = 3696300


Lets's calculate GCF of 902,3694

2 902, 3694
451, 1847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3696300/2

Therefore the LCM of Fractions 2700/902,8214/3694 is 1848150

Greatest Common Factor of 902,3694 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,3694 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 3694

List of positive integer factors of 3694 that divides 3694 without a remainder.

1,2,1847,3694

Greatest Common Factor

We found the factors 902,3694 . The biggest common factor number is the GCF number.
So the greatest common factor 902,3694 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 2700/902, 8214/3694

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 2700/902, 8214/3694?

Answer: LCM of Numerators as per given numbers 2700/902, 8214/3694 is

LCM of Numerators i.e. for 2700,8214 is 3696300

GCF of denominators i.e. for 902,3694 is 2.

Thus, LCM of Fractions is 1848150.Finally, LCM of Fractions for 2700/902, 8214/3694 is 1848150.