Least Common Multiple of 1104/30, 3411/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1104/30, 3411/256 quickly i.e. 627624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1104/30, 3411/256 is 627624.

LCM(1104/30, 3411/256) = 627624

LCM of 1104/30, 3411/256

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 1104/30,3411/256

Given numbers are 1104/30,3411/256

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 1104,3411

Least Common Multiple of Numerators i.e. LCM of 1104,3411 is 1255248.

GCF of Denominators means GCF of 30,256 as per the given fractions.

GCF of 30,256 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1104,3411

LCM of Fractions 1104/30,3411/256 is 627624

3 1104, 3411
368, 1137

∴ So the LCM of the given numbers is 3 x 368 x 1137 = 1255248

Least Common Multiple of 1104,3411 with GCF Formula

Least Common Multiple of 1104,3411 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 1104,3411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1104,3411) = 3

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

GCF(1104,3411) x common factors =3 x 1 = 3

LCM(1104,3411) = ( 1104 × 3411 ) / 3

LCM(1104,3411) = 3765744 / 3

LCM(1104,3411) = 1255248


Lets's calculate GCF of 30,256

2 30, 256
15, 128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1255248/2

Therefore the LCM of Fractions 1104/30,3411/256 is 627624

Greatest Common Factor of 30,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,256 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 30,256 . The biggest common factor number is the GCF number.
So the greatest common factor 30,256 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 1104/30, 3411/256

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 1104/30, 3411/256?

Answer: LCM of Numerators as per given numbers 1104/30, 3411/256 is

LCM of Numerators i.e. for 1104,3411 is 1255248

GCF of denominators i.e. for 30,256 is 2.

Thus, LCM of Fractions is 627624.Finally, LCM of Fractions for 1104/30, 3411/256 is 627624.