Least Common Multiple of 6075/624, 8518/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6075/624, 8518/744 quickly i.e. 51746850/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6075/624, 8518/744 is 51746850/24.

LCM(6075/624, 8518/744) = 51746850/24

LCM of 6075/624, 8518/744

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 6075/624,8518/744

Given numbers are 6075/624,8518/744

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 6075,8518

Least Common Multiple of Numerators i.e. LCM of 6075,8518 is 51746850.

GCF of Denominators means GCF of 624,744 as per the given fractions.

GCF of 624,744 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6075,8518

LCM of Fractions 6075/624,8518/744 is 51746850/24

Given numbers has no common factors except 1. So, there LCM is their product i.e 51746850

Least Common Multiple of 6075,8518 with GCF Formula

Least Common Multiple of 6075,8518 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 6075,8518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6075,8518) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(6075,8518) x common factors =1 x 1 = 1

LCM(6075,8518) = ( 6075 × 8518 ) / 1

LCM(6075,8518) = 51746850 / 1

LCM(6075,8518) = 51746850


Lets's calculate GCF of 624,744

2 624, 744
2 312, 372
2 156, 186
3 78, 93
26, 31

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51746850/24

Therefore the LCM of Fractions 6075/624,8518/744 is 51746850/24

Greatest Common Factor of 624,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,744 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 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 624,744 . The biggest common factor number is the GCF number.
So the greatest common factor 624,744 is 24.


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 6075/624, 8518/744

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 6075/624, 8518/744?

Answer: LCM of Numerators as per given numbers 6075/624, 8518/744 is

LCM of Numerators i.e. for 6075,8518 is 51746850

GCF of denominators i.e. for 624,744 is 24.

Thus, LCM of Fractions is 51746850/24.Finally, LCM of Fractions for 6075/624, 8518/744 is 51746850/24.