Least Common Multiple of 53/733, 58/959, 210/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/733, 58/959, 210/384 quickly i.e. 322770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/733, 58/959, 210/384 is 322770.

LCM(53/733, 58/959, 210/384) = 322770

LCM of 53/733, 58/959, 210/384

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 53/733,58/959,210/384

Given numbers are 53/733,58/959,210/384

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 53,58,210

Least Common Multiple of Numerators i.e. LCM of 53,58,210 is 322770.

GCF of Denominators means GCF of 733,959,384 as per the given fractions.

GCF of 733,959,384 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,58,210

LCM of Fractions 53/733,58/959,210/384 is 322770

2 53, 58, 210
53, 29, 105

∴ So the LCM of the given numbers is 2 x 53 x 29 x 105 = 322770

Least Common Multiple of 53,58,210 with GCF Formula

Least Common Multiple of 53,58,210 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 53,58,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,58,210) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,58,210) x common factors =1 x 2 = 2

LCM(53,58,210) = ( 53 × 58 × 210 ) / 2

LCM(53,58,210) = 645540 / 2

LCM(53,58,210) = 322770


Lets's calculate GCF of 733,959,384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322770/1

Therefore the LCM of Fractions 53/733,58/959,210/384 is 322770

Greatest Common Factor of 733,959,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,959,384 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 733,959,384 . The biggest common factor number is the GCF number.
So the greatest common factor 733,959,384 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 53/733, 58/959, 210/384

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 53/733, 58/959, 210/384?

Answer: LCM of Numerators as per given numbers 53/733, 58/959, 210/384 is

LCM of Numerators i.e. for 53,58,210 is 322770

GCF of denominators i.e. for 733,959,384 is 1.

Thus, LCM of Fractions is 322770.Finally, LCM of Fractions for 53/733, 58/959, 210/384 is 322770.