Least Common Multiple of 7500/18, 8752/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7500/18, 8752/586 quickly i.e. 8205000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7500/18, 8752/586 is 8205000.

LCM(7500/18, 8752/586) = 8205000

LCM of 7500/18, 8752/586

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 7500/18,8752/586

Given numbers are 7500/18,8752/586

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 7500,8752

Least Common Multiple of Numerators i.e. LCM of 7500,8752 is 16410000.

GCF of Denominators means GCF of 18,586 as per the given fractions.

GCF of 18,586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7500,8752

LCM of Fractions 7500/18,8752/586 is 8205000

2 7500, 8752
2 3750, 4376
1875, 2188

∴ So the LCM of the given numbers is 2 x 2 x 1875 x 2188 = 16410000

Least Common Multiple of 7500,8752 with GCF Formula

Least Common Multiple of 7500,8752 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 7500,8752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7500,8752) = 4

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

GCF(7500,8752) x common factors =4 x 1 = 4

LCM(7500,8752) = ( 7500 × 8752 ) / 4

LCM(7500,8752) = 65640000 / 4

LCM(7500,8752) = 16410000


Lets's calculate GCF of 18,586

2 18, 586
9, 293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16410000/2

Therefore the LCM of Fractions 7500/18,8752/586 is 8205000

Greatest Common Factor of 18,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,586 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 18,586 . The biggest common factor number is the GCF number.
So the greatest common factor 18,586 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 7500/18, 8752/586

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 7500/18, 8752/586?

Answer: LCM of Numerators as per given numbers 7500/18, 8752/586 is

LCM of Numerators i.e. for 7500,8752 is 16410000

GCF of denominators i.e. for 18,586 is 2.

Thus, LCM of Fractions is 8205000.Finally, LCM of Fractions for 7500/18, 8752/586 is 8205000.