Least Common Multiple of 594/95, 385/97, 210/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 594/95, 385/97, 210/888 quickly i.e. 20790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 594/95, 385/97, 210/888 is 20790.

LCM(594/95, 385/97, 210/888) = 20790

LCM of 594/95, 385/97, 210/888

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 594/95,385/97,210/888

Given numbers are 594/95,385/97,210/888

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 594,385,210

Least Common Multiple of Numerators i.e. LCM of 594,385,210 is 20790.

GCF of Denominators means GCF of 95,97,888 as per the given fractions.

GCF of 95,97,888 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 594,385,210

LCM of Fractions 594/95,385/97,210/888 is 20790

2 594, 385, 210
3 297, 385, 105
5 99, 385, 35
7 99, 77, 7
11 99, 11, 1
9, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 11 x 9 x 1 x 1 = 20790

Least Common Multiple of 594,385,210 with GCF Formula

Least Common Multiple of 594,385,210 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 594,385,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,385,210) = 1

common factors(in case of two or more numbers have common factors) = 2310

GCF(594,385,210) x common factors =1 x 2310 = 2310

LCM(594,385,210) = ( 594 × 385 × 210 ) / 2310

LCM(594,385,210) = 48024900 / 2310

LCM(594,385,210) = 20790


Lets's calculate GCF of 95,97,888

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20790/1

Therefore the LCM of Fractions 594/95,385/97,210/888 is 20790

Greatest Common Factor of 95,97,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,97,888 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 95,97,888 . The biggest common factor number is the GCF number.
So the greatest common factor 95,97,888 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 594/95, 385/97, 210/888

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 594/95, 385/97, 210/888?

Answer: LCM of Numerators as per given numbers 594/95, 385/97, 210/888 is

LCM of Numerators i.e. for 594,385,210 is 20790

GCF of denominators i.e. for 95,97,888 is 1.

Thus, LCM of Fractions is 20790.Finally, LCM of Fractions for 594/95, 385/97, 210/888 is 20790.