Least Common Multiple of 852/72, 645/85, 992/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/72, 645/85, 992/73 quickly i.e. 45428640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/72, 645/85, 992/73 is 45428640.

LCM(852/72, 645/85, 992/73) = 45428640

LCM of 852/72, 645/85, 992/73

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 852/72,645/85,992/73

Given numbers are 852/72,645/85,992/73

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 852,645,992

Least Common Multiple of Numerators i.e. LCM of 852,645,992 is 45428640.

GCF of Denominators means GCF of 72,85,73 as per the given fractions.

GCF of 72,85,73 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,645,992

LCM of Fractions 852/72,645/85,992/73 is 45428640

2 852, 645, 992
2 426, 645, 496
3 213, 645, 248
71, 215, 248

∴ So the LCM of the given numbers is 2 x 2 x 3 x 71 x 215 x 248 = 45428640

Least Common Multiple of 852,645,992 with GCF Formula

Least Common Multiple of 852,645,992 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 852,645,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,645,992) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(852,645,992) x common factors =1 x 12 = 12

LCM(852,645,992) = ( 852 × 645 × 992 ) / 12

LCM(852,645,992) = 545143680 / 12

LCM(852,645,992) = 45428640


Lets's calculate GCF of 72,85,73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45428640/1

Therefore the LCM of Fractions 852/72,645/85,992/73 is 45428640

Greatest Common Factor of 72,85,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,85,73 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 85

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

1,5,17,85

Factors of 73

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

1,73

Greatest Common Factor

We found the factors 72,85,73 . The biggest common factor number is the GCF number.
So the greatest common factor 72,85,73 is 1.


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 852/72, 645/85, 992/73

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 852/72, 645/85, 992/73?

Answer: LCM of Numerators as per given numbers 852/72, 645/85, 992/73 is

LCM of Numerators i.e. for 852,645,992 is 45428640

GCF of denominators i.e. for 72,85,73 is 1.

Thus, LCM of Fractions is 45428640.Finally, LCM of Fractions for 852/72, 645/85, 992/73 is 45428640.