Least Common Multiple of 53/759, 205/888, 510/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/759, 205/888, 510/567 quickly i.e. 369410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/759, 205/888, 510/567 is 369410.

LCM(53/759, 205/888, 510/567) = 369410

LCM of 53/759, 205/888, 510/567

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 53/759,205/888,510/567

Given numbers are 53/759,205/888,510/567

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 53,205,510

Least Common Multiple of Numerators i.e. LCM of 53,205,510 is 1108230.

GCF of Denominators means GCF of 759,888,567 as per the given fractions.

GCF of 759,888,567 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,205,510

LCM of Fractions 53/759,205/888,510/567 is 369410

5 53, 205, 510
53, 41, 102

∴ So the LCM of the given numbers is 5 x 53 x 41 x 102 = 1108230

Least Common Multiple of 53,205,510 with GCF Formula

Least Common Multiple of 53,205,510 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 53,205,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,205,510) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(53,205,510) x common factors =1 x 5 = 5

LCM(53,205,510) = ( 53 × 205 × 510 ) / 5

LCM(53,205,510) = 5541150 / 5

LCM(53,205,510) = 1108230


Lets's calculate GCF of 759,888,567

3 759, 888, 567
253, 296, 189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1108230/3

Therefore the LCM of Fractions 53/759,205/888,510/567 is 369410

Greatest Common Factor of 759,888,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,888,567 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

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

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 759,888,567 . The biggest common factor number is the GCF number.
So the greatest common factor 759,888,567 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 53/759, 205/888, 510/567

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 53/759, 205/888, 510/567?

Answer: LCM of Numerators as per given numbers 53/759, 205/888, 510/567 is

LCM of Numerators i.e. for 53,205,510 is 1108230

GCF of denominators i.e. for 759,888,567 is 3.

Thus, LCM of Fractions is 369410.Finally, LCM of Fractions for 53/759, 205/888, 510/567 is 369410.