Least Common Multiple of 3104/268, 2748/3786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3104/268, 2748/3786 quickly i.e. 1066224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3104/268, 2748/3786 is 1066224.

LCM(3104/268, 2748/3786) = 1066224

LCM of 3104/268, 2748/3786

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 3104/268,2748/3786

Given numbers are 3104/268,2748/3786

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 3104,2748

Least Common Multiple of Numerators i.e. LCM of 3104,2748 is 2132448.

GCF of Denominators means GCF of 268,3786 as per the given fractions.

GCF of 268,3786 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3104,2748

LCM of Fractions 3104/268,2748/3786 is 1066224

2 3104, 2748
2 1552, 1374
776, 687

∴ So the LCM of the given numbers is 2 x 2 x 776 x 687 = 2132448

Least Common Multiple of 3104,2748 with GCF Formula

Least Common Multiple of 3104,2748 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 3104,2748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3104,2748) = 4

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

GCF(3104,2748) x common factors =4 x 1 = 4

LCM(3104,2748) = ( 3104 × 2748 ) / 4

LCM(3104,2748) = 8529792 / 4

LCM(3104,2748) = 2132448


Lets's calculate GCF of 268,3786

2 268, 3786
134, 1893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2132448/2

Therefore the LCM of Fractions 3104/268,2748/3786 is 1066224

Greatest Common Factor of 268,3786 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,3786 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 3786

List of positive integer factors of 3786 that divides 3786 without a remainder.

1,2,3,6,631,1262,1893,3786

Greatest Common Factor

We found the factors 268,3786 . The biggest common factor number is the GCF number.
So the greatest common factor 268,3786 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 3104/268, 2748/3786

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 3104/268, 2748/3786?

Answer: LCM of Numerators as per given numbers 3104/268, 2748/3786 is

LCM of Numerators i.e. for 3104,2748 is 2132448

GCF of denominators i.e. for 268,3786 is 2.

Thus, LCM of Fractions is 1066224.Finally, LCM of Fractions for 3104/268, 2748/3786 is 1066224.