Least Common Multiple of 519/624, 684/973, 747/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 519/624, 684/973, 747/671 quickly i.e. 9821556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/624, 684/973, 747/671 is 9821556.

LCM(519/624, 684/973, 747/671) = 9821556

LCM of 519/624, 684/973, 747/671

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 519/624,684/973,747/671

Given numbers are 519/624,684/973,747/671

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 519,684,747

Least Common Multiple of Numerators i.e. LCM of 519,684,747 is 9821556.

GCF of Denominators means GCF of 624,973,671 as per the given fractions.

GCF of 624,973,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,684,747

LCM of Fractions 519/624,684/973,747/671 is 9821556

3 519, 684, 747
3 173, 228, 249
173, 76, 83

∴ So the LCM of the given numbers is 3 x 3 x 173 x 76 x 83 = 9821556

Least Common Multiple of 519,684,747 with GCF Formula

Least Common Multiple of 519,684,747 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 519,684,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,684,747) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(519,684,747) x common factors =3 x 9 = 27

LCM(519,684,747) = ( 519 × 684 × 747 ) / 27

LCM(519,684,747) = 265182012 / 27

LCM(519,684,747) = 9821556


Lets's calculate GCF of 624,973,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9821556/1

Therefore the LCM of Fractions 519/624,684/973,747/671 is 9821556

Greatest Common Factor of 624,973,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,973,671 By Matching Biggest Common Factor Method

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

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 624,973,671 . The biggest common factor number is the GCF number.
So the greatest common factor 624,973,671 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 519/624, 684/973, 747/671

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 519/624, 684/973, 747/671?

Answer: LCM of Numerators as per given numbers 519/624, 684/973, 747/671 is

LCM of Numerators i.e. for 519,684,747 is 9821556

GCF of denominators i.e. for 624,973,671 is 1.

Thus, LCM of Fractions is 9821556.Finally, LCM of Fractions for 519/624, 684/973, 747/671 is 9821556.