Least Common Multiple of 715/748, 8394/9030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 715/748, 8394/9030 quickly i.e. 3000855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 715/748, 8394/9030 is 3000855.

LCM(715/748, 8394/9030) = 3000855

LCM of 715/748, 8394/9030

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 715/748,8394/9030

Given numbers are 715/748,8394/9030

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 715,8394

Least Common Multiple of Numerators i.e. LCM of 715,8394 is 6001710.

GCF of Denominators means GCF of 748,9030 as per the given fractions.

GCF of 748,9030 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 715,8394

LCM of Fractions 715/748,8394/9030 is 3000855

Given numbers has no common factors except 1. So, there LCM is their product i.e 6001710

Least Common Multiple of 715,8394 with GCF Formula

Least Common Multiple of 715,8394 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 715,8394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,8394) = 1

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

GCF(715,8394) x common factors =1 x 1 = 1

LCM(715,8394) = ( 715 × 8394 ) / 1

LCM(715,8394) = 6001710 / 1

LCM(715,8394) = 6001710


Lets's calculate GCF of 748,9030

2 748, 9030
374, 4515

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6001710/2

Therefore the LCM of Fractions 715/748,8394/9030 is 3000855

Greatest Common Factor of 748,9030 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,9030 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 9030

List of positive integer factors of 9030 that divides 9030 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,43,70,86,105,129,210,215,258,301,430,602,645,903,1290,1505,1806,3010,4515,9030

Greatest Common Factor

We found the factors 748,9030 . The biggest common factor number is the GCF number.
So the greatest common factor 748,9030 is 2.


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 715/748, 8394/9030

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 715/748, 8394/9030?

Answer: LCM of Numerators as per given numbers 715/748, 8394/9030 is

LCM of Numerators i.e. for 715,8394 is 6001710

GCF of denominators i.e. for 748,9030 is 2.

Thus, LCM of Fractions is 3000855.Finally, LCM of Fractions for 715/748, 8394/9030 is 3000855.