Least Common Multiple of 4548/918, 1599/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4548/918, 1599/330 quickly i.e. 404014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4548/918, 1599/330 is 404014.

LCM(4548/918, 1599/330) = 404014

LCM of 4548/918, 1599/330

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 4548/918,1599/330

Given numbers are 4548/918,1599/330

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 4548,1599

Least Common Multiple of Numerators i.e. LCM of 4548,1599 is 2424084.

GCF of Denominators means GCF of 918,330 as per the given fractions.

GCF of 918,330 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4548,1599

LCM of Fractions 4548/918,1599/330 is 404014

3 4548, 1599
1516, 533

∴ So the LCM of the given numbers is 3 x 1516 x 533 = 2424084

Least Common Multiple of 4548,1599 with GCF Formula

Least Common Multiple of 4548,1599 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 4548,1599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4548,1599) = 3

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

GCF(4548,1599) x common factors =3 x 1 = 3

LCM(4548,1599) = ( 4548 × 1599 ) / 3

LCM(4548,1599) = 7272252 / 3

LCM(4548,1599) = 2424084


Lets's calculate GCF of 918,330

2 918, 330
3 459, 165
153, 55

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2424084/6

Therefore the LCM of Fractions 4548/918,1599/330 is 404014

Greatest Common Factor of 918,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,330 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 918,330 . The biggest common factor number is the GCF number.
So the greatest common factor 918,330 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4548/918, 1599/330

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 4548/918, 1599/330?

Answer: LCM of Numerators as per given numbers 4548/918, 1599/330 is

LCM of Numerators i.e. for 4548,1599 is 2424084

GCF of denominators i.e. for 918,330 is 6.

Thus, LCM of Fractions is 404014.Finally, LCM of Fractions for 4548/918, 1599/330 is 404014.