Least Common Multiple of 85/604, 93/819, 600/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/604, 93/819, 600/745 quickly i.e. 316200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/604, 93/819, 600/745 is 316200.

LCM(85/604, 93/819, 600/745) = 316200

LCM of 85/604, 93/819, 600/745

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 85/604,93/819,600/745

Given numbers are 85/604,93/819,600/745

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 85,93,600

Least Common Multiple of Numerators i.e. LCM of 85,93,600 is 316200.

GCF of Denominators means GCF of 604,819,745 as per the given fractions.

GCF of 604,819,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,93,600

LCM of Fractions 85/604,93/819,600/745 is 316200

3 85, 93, 600
5 85, 31, 200
17, 31, 40

∴ So the LCM of the given numbers is 3 x 5 x 17 x 31 x 40 = 316200

Least Common Multiple of 85,93,600 with GCF Formula

Least Common Multiple of 85,93,600 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 85,93,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,93,600) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(85,93,600) x common factors =1 x 15 = 15

LCM(85,93,600) = ( 85 × 93 × 600 ) / 15

LCM(85,93,600) = 4743000 / 15

LCM(85,93,600) = 316200


Lets's calculate GCF of 604,819,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316200/1

Therefore the LCM of Fractions 85/604,93/819,600/745 is 316200

Greatest Common Factor of 604,819,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,819,745 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 604,819,745 . The biggest common factor number is the GCF number.
So the greatest common factor 604,819,745 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 85/604, 93/819, 600/745

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 85/604, 93/819, 600/745?

Answer: LCM of Numerators as per given numbers 85/604, 93/819, 600/745 is

LCM of Numerators i.e. for 85,93,600 is 316200

GCF of denominators i.e. for 604,819,745 is 1.

Thus, LCM of Fractions is 316200.Finally, LCM of Fractions for 85/604, 93/819, 600/745 is 316200.