Least Common Multiple of 2868/138, 3450/4209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2868/138, 3450/4209 quickly i.e. 23900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2868/138, 3450/4209 is 23900.

LCM(2868/138, 3450/4209) = 23900

LCM of 2868/138, 3450/4209

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 2868/138,3450/4209

Given numbers are 2868/138,3450/4209

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 2868,3450

Least Common Multiple of Numerators i.e. LCM of 2868,3450 is 1649100.

GCF of Denominators means GCF of 138,4209 as per the given fractions.

GCF of 138,4209 is 69 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2868,3450

LCM of Fractions 2868/138,3450/4209 is 23900

2 2868, 3450
3 1434, 1725
478, 575

∴ So the LCM of the given numbers is 2 x 3 x 478 x 575 = 1649100

Least Common Multiple of 2868,3450 with GCF Formula

Least Common Multiple of 2868,3450 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 2868,3450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2868,3450) = 6

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

GCF(2868,3450) x common factors =6 x 1 = 6

LCM(2868,3450) = ( 2868 × 3450 ) / 6

LCM(2868,3450) = 9894600 / 6

LCM(2868,3450) = 1649100


Lets's calculate GCF of 138,4209

3 138, 4209
23 46, 1403
2, 61

∴ So the GCF of the given numbers is 3 x 23 = 69

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1649100/69

Therefore the LCM of Fractions 2868/138,3450/4209 is 23900

Greatest Common Factor of 138,4209 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,4209 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 4209

List of positive integer factors of 4209 that divides 4209 without a remainder.

1,3,23,61,69,183,1403,4209

Greatest Common Factor

We found the factors 138,4209 . The biggest common factor number is the GCF number.
So the greatest common factor 138,4209 is 69.


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 2868/138, 3450/4209

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 2868/138, 3450/4209?

Answer: LCM of Numerators as per given numbers 2868/138, 3450/4209 is

LCM of Numerators i.e. for 2868,3450 is 1649100

GCF of denominators i.e. for 138,4209 is 69.

Thus, LCM of Fractions is 23900.Finally, LCM of Fractions for 2868/138, 3450/4209 is 23900.