Least Common Multiple of 73/85, 387/26, 894/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/85, 387/26, 894/360 quickly i.e. 8418798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/85, 387/26, 894/360 is 8418798.

LCM(73/85, 387/26, 894/360) = 8418798

LCM of 73/85, 387/26, 894/360

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 73/85,387/26,894/360

Given numbers are 73/85,387/26,894/360

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 73,387,894

Least Common Multiple of Numerators i.e. LCM of 73,387,894 is 8418798.

GCF of Denominators means GCF of 85,26,360 as per the given fractions.

GCF of 85,26,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,387,894

LCM of Fractions 73/85,387/26,894/360 is 8418798

3 73, 387, 894
73, 129, 298

∴ So the LCM of the given numbers is 3 x 73 x 129 x 298 = 8418798

Least Common Multiple of 73,387,894 with GCF Formula

Least Common Multiple of 73,387,894 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 73,387,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,387,894) = 1

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

GCF(73,387,894) x common factors =1 x 3 = 3

LCM(73,387,894) = ( 73 × 387 × 894 ) / 3

LCM(73,387,894) = 25256394 / 3

LCM(73,387,894) = 8418798


Lets's calculate GCF of 85,26,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8418798/1

Therefore the LCM of Fractions 73/85,387/26,894/360 is 8418798

Greatest Common Factor of 85,26,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,26,360 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 85,26,360 . The biggest common factor number is the GCF number.
So the greatest common factor 85,26,360 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/85, 387/26, 894/360

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 73/85, 387/26, 894/360?

Answer: LCM of Numerators as per given numbers 73/85, 387/26, 894/360 is

LCM of Numerators i.e. for 73,387,894 is 8418798

GCF of denominators i.e. for 85,26,360 is 1.

Thus, LCM of Fractions is 8418798.Finally, LCM of Fractions for 73/85, 387/26, 894/360 is 8418798.