Least Common Multiple of 468/733, 1639/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 468/733, 1639/366 quickly i.e. 767052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/733, 1639/366 is 767052.

LCM(468/733, 1639/366) = 767052

LCM of 468/733, 1639/366

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 468/733,1639/366

Given numbers are 468/733,1639/366

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 468,1639

Least Common Multiple of Numerators i.e. LCM of 468,1639 is 767052.

GCF of Denominators means GCF of 733,366 as per the given fractions.

GCF of 733,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,1639

LCM of Fractions 468/733,1639/366 is 767052

Given numbers has no common factors except 1. So, there LCM is their product i.e 767052

Least Common Multiple of 468,1639 with GCF Formula

Least Common Multiple of 468,1639 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 468,1639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,1639) = 1

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

GCF(468,1639) x common factors =1 x 1 = 1

LCM(468,1639) = ( 468 × 1639 ) / 1

LCM(468,1639) = 767052 / 1

LCM(468,1639) = 767052


Lets's calculate GCF of 733,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 767052/1

Therefore the LCM of Fractions 468/733,1639/366 is 767052

Greatest Common Factor of 733,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,366 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 733,366 . The biggest common factor number is the GCF number.
So the greatest common factor 733,366 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 468/733, 1639/366

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 468/733, 1639/366?

Answer: LCM of Numerators as per given numbers 468/733, 1639/366 is

LCM of Numerators i.e. for 468,1639 is 767052

GCF of denominators i.e. for 733,366 is 1.

Thus, LCM of Fractions is 767052.Finally, LCM of Fractions for 468/733, 1639/366 is 767052.