Least Common Multiple of 2268/236, 3078/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2268/236, 3078/901 quickly i.e. 43092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2268/236, 3078/901 is 43092.

LCM(2268/236, 3078/901) = 43092

LCM of 2268/236, 3078/901

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 2268/236,3078/901

Given numbers are 2268/236,3078/901

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 2268,3078

Least Common Multiple of Numerators i.e. LCM of 2268,3078 is 43092.

GCF of Denominators means GCF of 236,901 as per the given fractions.

GCF of 236,901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2268,3078

LCM of Fractions 2268/236,3078/901 is 43092

2 2268, 3078
3 1134, 1539
3 378, 513
3 126, 171
3 42, 57
14, 19

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 14 x 19 = 43092

Least Common Multiple of 2268,3078 with GCF Formula

Least Common Multiple of 2268,3078 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 2268,3078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2268,3078) = 162

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

GCF(2268,3078) x common factors =162 x 1 = 162

LCM(2268,3078) = ( 2268 × 3078 ) / 162

LCM(2268,3078) = 6980904 / 162

LCM(2268,3078) = 43092


Lets's calculate GCF of 236,901

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43092/1

Therefore the LCM of Fractions 2268/236,3078/901 is 43092

Greatest Common Factor of 236,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,901 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 236,901 . The biggest common factor number is the GCF number.
So the greatest common factor 236,901 is 1.


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 2268/236, 3078/901

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 2268/236, 3078/901?

Answer: LCM of Numerators as per given numbers 2268/236, 3078/901 is

LCM of Numerators i.e. for 2268,3078 is 43092

GCF of denominators i.e. for 236,901 is 1.

Thus, LCM of Fractions is 43092.Finally, LCM of Fractions for 2268/236, 3078/901 is 43092.