Least Common Multiple of 72/345, 83/866, 764/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/345, 83/866, 764/842 quickly i.e. 1141416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/345, 83/866, 764/842 is 1141416.

LCM(72/345, 83/866, 764/842) = 1141416

LCM of 72/345, 83/866, 764/842

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 72/345,83/866,764/842

Given numbers are 72/345,83/866,764/842

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 72,83,764

Least Common Multiple of Numerators i.e. LCM of 72,83,764 is 1141416.

GCF of Denominators means GCF of 345,866,842 as per the given fractions.

GCF of 345,866,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,83,764

LCM of Fractions 72/345,83/866,764/842 is 1141416

2 72, 83, 764
2 36, 83, 382
18, 83, 191

∴ So the LCM of the given numbers is 2 x 2 x 18 x 83 x 191 = 1141416

Least Common Multiple of 72,83,764 with GCF Formula

Least Common Multiple of 72,83,764 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 72,83,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,83,764) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(72,83,764) x common factors =1 x 4 = 4

LCM(72,83,764) = ( 72 × 83 × 764 ) / 4

LCM(72,83,764) = 4565664 / 4

LCM(72,83,764) = 1141416


Lets's calculate GCF of 345,866,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1141416/1

Therefore the LCM of Fractions 72/345,83/866,764/842 is 1141416

Greatest Common Factor of 345,866,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,866,842 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 345,866,842 . The biggest common factor number is the GCF number.
So the greatest common factor 345,866,842 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/345, 83/866, 764/842

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 72/345, 83/866, 764/842?

Answer: LCM of Numerators as per given numbers 72/345, 83/866, 764/842 is

LCM of Numerators i.e. for 72,83,764 is 1141416

GCF of denominators i.e. for 345,866,842 is 1.

Thus, LCM of Fractions is 1141416.Finally, LCM of Fractions for 72/345, 83/866, 764/842 is 1141416.