Least Common Multiple of 85/78, 52/73, 89/65, 99/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/78, 52/73, 89/65, 99/843 quickly i.e. 38944620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/78, 52/73, 89/65, 99/843 is 38944620.

LCM(85/78, 52/73, 89/65, 99/843) = 38944620

LCM of 85/78, 52/73, 89/65, 99/843

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 85/78,52/73,89/65,99/843

Given numbers are 85/78,52/73,89/65,99/843

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 85,52,89,99

Least Common Multiple of Numerators i.e. LCM of 85,52,89,99 is 38944620.

GCF of Denominators means GCF of 78,73,65,843 as per the given fractions.

GCF of 78,73,65,843 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,52,89,99

LCM of Fractions 85/78,52/73,89/65,99/843 is 38944620

Given numbers has no common factors except 1. So, there LCM is their product i.e 38944620

Least Common Multiple of 85,52,89,99 with GCF Formula

Least Common Multiple of 85,52,89,99 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 85,52,89,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,52,89,99) = 1

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

GCF(85,52,89,99) x common factors =1 x 1 = 1

LCM(85,52,89,99) = ( 85 × 52 × 89 × 99 ) / 1

LCM(85,52,89,99) = 38944620 / 1

LCM(85,52,89,99) = 38944620


Lets's calculate GCF of 78,73,65,843

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38944620/1

Therefore the LCM of Fractions 85/78,52/73,89/65,99/843 is 38944620

Greatest Common Factor of 78,73,65,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,73,65,843 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 78,73,65,843 . The biggest common factor number is the GCF number.
So the greatest common factor 78,73,65,843 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 85/78, 52/73, 89/65, 99/843

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 85/78, 52/73, 89/65, 99/843?

Answer: LCM of Numerators as per given numbers 85/78, 52/73, 89/65, 99/843 is

LCM of Numerators i.e. for 85,52,89,99 is 38944620

GCF of denominators i.e. for 78,73,65,843 is 1.

Thus, LCM of Fractions is 38944620.Finally, LCM of Fractions for 85/78, 52/73, 89/65, 99/843 is 38944620.