Least Common Multiple of 8730/52, 8034/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8730/52, 8034/775 quickly i.e. 11689470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8730/52, 8034/775 is 11689470.

LCM(8730/52, 8034/775) = 11689470

LCM of 8730/52, 8034/775

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 8730/52,8034/775

Given numbers are 8730/52,8034/775

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 8730,8034

Least Common Multiple of Numerators i.e. LCM of 8730,8034 is 11689470.

GCF of Denominators means GCF of 52,775 as per the given fractions.

GCF of 52,775 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8730,8034

LCM of Fractions 8730/52,8034/775 is 11689470

2 8730, 8034
3 4365, 4017
1455, 1339

∴ So the LCM of the given numbers is 2 x 3 x 1455 x 1339 = 11689470

Least Common Multiple of 8730,8034 with GCF Formula

Least Common Multiple of 8730,8034 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 8730,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8730,8034) = 6

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

GCF(8730,8034) x common factors =6 x 1 = 6

LCM(8730,8034) = ( 8730 × 8034 ) / 6

LCM(8730,8034) = 70136820 / 6

LCM(8730,8034) = 11689470


Lets's calculate GCF of 52,775

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11689470/1

Therefore the LCM of Fractions 8730/52,8034/775 is 11689470

Greatest Common Factor of 52,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,775 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 52,775 . The biggest common factor number is the GCF number.
So the greatest common factor 52,775 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 8730/52, 8034/775

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 8730/52, 8034/775?

Answer: LCM of Numerators as per given numbers 8730/52, 8034/775 is

LCM of Numerators i.e. for 8730,8034 is 11689470

GCF of denominators i.e. for 52,775 is 1.

Thus, LCM of Fractions is 11689470.Finally, LCM of Fractions for 8730/52, 8034/775 is 11689470.