Least Common Multiple of 2246/33, 4296/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2246/33, 4296/648 quickly i.e. 1608136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2246/33, 4296/648 is 1608136.

LCM(2246/33, 4296/648) = 1608136

LCM of 2246/33, 4296/648

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 2246/33,4296/648

Given numbers are 2246/33,4296/648

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 2246,4296

Least Common Multiple of Numerators i.e. LCM of 2246,4296 is 4824408.

GCF of Denominators means GCF of 33,648 as per the given fractions.

GCF of 33,648 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2246,4296

LCM of Fractions 2246/33,4296/648 is 1608136

2 2246, 4296
1123, 2148

∴ So the LCM of the given numbers is 2 x 1123 x 2148 = 4824408

Least Common Multiple of 2246,4296 with GCF Formula

Least Common Multiple of 2246,4296 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 2246,4296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2246,4296) = 2

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

GCF(2246,4296) x common factors =2 x 1 = 2

LCM(2246,4296) = ( 2246 × 4296 ) / 2

LCM(2246,4296) = 9648816 / 2

LCM(2246,4296) = 4824408


Lets's calculate GCF of 33,648

3 33, 648
11, 216

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4824408/3

Therefore the LCM of Fractions 2246/33,4296/648 is 1608136

Greatest Common Factor of 33,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,648 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 33,648 . The biggest common factor number is the GCF number.
So the greatest common factor 33,648 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2246/33, 4296/648

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 2246/33, 4296/648?

Answer: LCM of Numerators as per given numbers 2246/33, 4296/648 is

LCM of Numerators i.e. for 2246,4296 is 4824408

GCF of denominators i.e. for 33,648 is 3.

Thus, LCM of Fractions is 1608136.Finally, LCM of Fractions for 2246/33, 4296/648 is 1608136.