Least Common Multiple of 76/93, 386/90, 843/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/93, 386/90, 843/543 quickly i.e. 4121708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/93, 386/90, 843/543 is 4121708.

LCM(76/93, 386/90, 843/543) = 4121708

LCM of 76/93, 386/90, 843/543

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 76/93,386/90,843/543

Given numbers are 76/93,386/90,843/543

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 76,386,843

Least Common Multiple of Numerators i.e. LCM of 76,386,843 is 12365124.

GCF of Denominators means GCF of 93,90,543 as per the given fractions.

GCF of 93,90,543 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,386,843

LCM of Fractions 76/93,386/90,843/543 is 4121708

2 76, 386, 843
38, 193, 843

∴ So the LCM of the given numbers is 2 x 38 x 193 x 843 = 12365124

Least Common Multiple of 76,386,843 with GCF Formula

Least Common Multiple of 76,386,843 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 76,386,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,386,843) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,386,843) x common factors =1 x 2 = 2

LCM(76,386,843) = ( 76 × 386 × 843 ) / 2

LCM(76,386,843) = 24730248 / 2

LCM(76,386,843) = 12365124


Lets's calculate GCF of 93,90,543

3 93, 90, 543
31, 30, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12365124/3

Therefore the LCM of Fractions 76/93,386/90,843/543 is 4121708

Greatest Common Factor of 93,90,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,90,543 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 93,90,543 . The biggest common factor number is the GCF number.
So the greatest common factor 93,90,543 is 3.


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 76/93, 386/90, 843/543

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 76/93, 386/90, 843/543?

Answer: LCM of Numerators as per given numbers 76/93, 386/90, 843/543 is

LCM of Numerators i.e. for 76,386,843 is 12365124

GCF of denominators i.e. for 93,90,543 is 3.

Thus, LCM of Fractions is 4121708.Finally, LCM of Fractions for 76/93, 386/90, 843/543 is 4121708.