Least Common Multiple of 67/858, 72/345, 594/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/858, 72/345, 594/120 quickly i.e. 53064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/858, 72/345, 594/120 is 53064.

LCM(67/858, 72/345, 594/120) = 53064

LCM of 67/858, 72/345, 594/120

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 67/858,72/345,594/120

Given numbers are 67/858,72/345,594/120

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 67,72,594

Least Common Multiple of Numerators i.e. LCM of 67,72,594 is 159192.

GCF of Denominators means GCF of 858,345,120 as per the given fractions.

GCF of 858,345,120 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,72,594

LCM of Fractions 67/858,72/345,594/120 is 53064

2 67, 72, 594
3 67, 36, 297
3 67, 12, 99
67, 4, 33

∴ So the LCM of the given numbers is 2 x 3 x 3 x 67 x 4 x 33 = 159192

Least Common Multiple of 67,72,594 with GCF Formula

Least Common Multiple of 67,72,594 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 67,72,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,72,594) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(67,72,594) x common factors =1 x 18 = 18

LCM(67,72,594) = ( 67 × 72 × 594 ) / 18

LCM(67,72,594) = 2865456 / 18

LCM(67,72,594) = 159192


Lets's calculate GCF of 858,345,120

3 858, 345, 120
286, 115, 40

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159192/3

Therefore the LCM of Fractions 67/858,72/345,594/120 is 53064

Greatest Common Factor of 858,345,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,345,120 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

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 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 858,345,120 . The biggest common factor number is the GCF number.
So the greatest common factor 858,345,120 is 3.


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 67/858, 72/345, 594/120

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 67/858, 72/345, 594/120?

Answer: LCM of Numerators as per given numbers 67/858, 72/345, 594/120 is

LCM of Numerators i.e. for 67,72,594 is 159192

GCF of denominators i.e. for 858,345,120 is 3.

Thus, LCM of Fractions is 53064.Finally, LCM of Fractions for 67/858, 72/345, 594/120 is 53064.