Least Common Multiple of 843/483, 213/593, 748/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 843/483, 213/593, 748/368 quickly i.e. 44770044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/483, 213/593, 748/368 is 44770044.

LCM(843/483, 213/593, 748/368) = 44770044

LCM of 843/483, 213/593, 748/368

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 843/483,213/593,748/368

Given numbers are 843/483,213/593,748/368

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 843,213,748

Least Common Multiple of Numerators i.e. LCM of 843,213,748 is 44770044.

GCF of Denominators means GCF of 483,593,368 as per the given fractions.

GCF of 483,593,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,213,748

LCM of Fractions 843/483,213/593,748/368 is 44770044

3 843, 213, 748
281, 71, 748

∴ So the LCM of the given numbers is 3 x 281 x 71 x 748 = 44770044

Least Common Multiple of 843,213,748 with GCF Formula

Least Common Multiple of 843,213,748 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 843,213,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,213,748) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(843,213,748) x common factors =1 x 3 = 3

LCM(843,213,748) = ( 843 × 213 × 748 ) / 3

LCM(843,213,748) = 134310132 / 3

LCM(843,213,748) = 44770044


Lets's calculate GCF of 483,593,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44770044/1

Therefore the LCM of Fractions 843/483,213/593,748/368 is 44770044

Greatest Common Factor of 483,593,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,593,368 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 483,593,368 . The biggest common factor number is the GCF number.
So the greatest common factor 483,593,368 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 843/483, 213/593, 748/368

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 843/483, 213/593, 748/368?

Answer: LCM of Numerators as per given numbers 843/483, 213/593, 748/368 is

LCM of Numerators i.e. for 843,213,748 is 44770044

GCF of denominators i.e. for 483,593,368 is 1.

Thus, LCM of Fractions is 44770044.Finally, LCM of Fractions for 843/483, 213/593, 748/368 is 44770044.