Least Common Multiple of 189/852, 8730/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 189/852, 8730/699 quickly i.e. 61110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/852, 8730/699 is 61110.

LCM(189/852, 8730/699) = 61110

LCM of 189/852, 8730/699

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 189/852,8730/699

Given numbers are 189/852,8730/699

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 189,8730

Least Common Multiple of Numerators i.e. LCM of 189,8730 is 183330.

GCF of Denominators means GCF of 852,699 as per the given fractions.

GCF of 852,699 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,8730

LCM of Fractions 189/852,8730/699 is 61110

3 189, 8730
3 63, 2910
21, 970

∴ So the LCM of the given numbers is 3 x 3 x 21 x 970 = 183330

Least Common Multiple of 189,8730 with GCF Formula

Least Common Multiple of 189,8730 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 189,8730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,8730) = 9

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

GCF(189,8730) x common factors =9 x 1 = 9

LCM(189,8730) = ( 189 × 8730 ) / 9

LCM(189,8730) = 1649970 / 9

LCM(189,8730) = 183330


Lets's calculate GCF of 852,699

3 852, 699
284, 233

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183330/3

Therefore the LCM of Fractions 189/852,8730/699 is 61110

Greatest Common Factor of 852,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,699 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 852,699 . The biggest common factor number is the GCF number.
So the greatest common factor 852,699 is 3.


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 189/852, 8730/699

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 189/852, 8730/699?

Answer: LCM of Numerators as per given numbers 189/852, 8730/699 is

LCM of Numerators i.e. for 189,8730 is 183330

GCF of denominators i.e. for 852,699 is 3.

Thus, LCM of Fractions is 61110.Finally, LCM of Fractions for 189/852, 8730/699 is 61110.