Least Common Multiple of 210/86, 477/33, 594/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/86, 477/33, 594/537 quickly i.e. 1101870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/86, 477/33, 594/537 is 1101870.

LCM(210/86, 477/33, 594/537) = 1101870

LCM of 210/86, 477/33, 594/537

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 210/86,477/33,594/537

Given numbers are 210/86,477/33,594/537

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 210,477,594

Least Common Multiple of Numerators i.e. LCM of 210,477,594 is 1101870.

GCF of Denominators means GCF of 86,33,537 as per the given fractions.

GCF of 86,33,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,477,594

LCM of Fractions 210/86,477/33,594/537 is 1101870

2 210, 477, 594
3 105, 477, 297
3 35, 159, 99
35, 53, 33

∴ So the LCM of the given numbers is 2 x 3 x 3 x 35 x 53 x 33 = 1101870

Least Common Multiple of 210,477,594 with GCF Formula

Least Common Multiple of 210,477,594 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 210,477,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,477,594) = 3

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

GCF(210,477,594) x common factors =3 x 18 = 54

LCM(210,477,594) = ( 210 × 477 × 594 ) / 54

LCM(210,477,594) = 59500980 / 54

LCM(210,477,594) = 1101870


Lets's calculate GCF of 86,33,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1101870/1

Therefore the LCM of Fractions 210/86,477/33,594/537 is 1101870

Greatest Common Factor of 86,33,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,33,537 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 86,33,537 . The biggest common factor number is the GCF number.
So the greatest common factor 86,33,537 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 210/86, 477/33, 594/537

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 210/86, 477/33, 594/537?

Answer: LCM of Numerators as per given numbers 210/86, 477/33, 594/537 is

LCM of Numerators i.e. for 210,477,594 is 1101870

GCF of denominators i.e. for 86,33,537 is 1.

Thus, LCM of Fractions is 1101870.Finally, LCM of Fractions for 210/86, 477/33, 594/537 is 1101870.