Least Common Multiple of 52/711, 522/576, 751/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/711, 522/576, 751/624 quickly i.e. 3397524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/711, 522/576, 751/624 is 3397524.

LCM(52/711, 522/576, 751/624) = 3397524

LCM of 52/711, 522/576, 751/624

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 52/711,522/576,751/624

Given numbers are 52/711,522/576,751/624

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 52,522,751

Least Common Multiple of Numerators i.e. LCM of 52,522,751 is 10192572.

GCF of Denominators means GCF of 711,576,624 as per the given fractions.

GCF of 711,576,624 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,522,751

LCM of Fractions 52/711,522/576,751/624 is 3397524

2 52, 522, 751
26, 261, 751

∴ So the LCM of the given numbers is 2 x 26 x 261 x 751 = 10192572

Least Common Multiple of 52,522,751 with GCF Formula

Least Common Multiple of 52,522,751 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 52,522,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,522,751) = 1

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

GCF(52,522,751) x common factors =1 x 2 = 2

LCM(52,522,751) = ( 52 × 522 × 751 ) / 2

LCM(52,522,751) = 20385144 / 2

LCM(52,522,751) = 10192572


Lets's calculate GCF of 711,576,624

3 711, 576, 624
237, 192, 208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10192572/3

Therefore the LCM of Fractions 52/711,522/576,751/624 is 3397524

Greatest Common Factor of 711,576,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,576,624 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 711,576,624 . The biggest common factor number is the GCF number.
So the greatest common factor 711,576,624 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/711, 522/576, 751/624

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 52/711, 522/576, 751/624?

Answer: LCM of Numerators as per given numbers 52/711, 522/576, 751/624 is

LCM of Numerators i.e. for 52,522,751 is 10192572

GCF of denominators i.e. for 711,576,624 is 3.

Thus, LCM of Fractions is 3397524.Finally, LCM of Fractions for 52/711, 522/576, 751/624 is 3397524.