Least Common Multiple of 186/693, 9690/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 186/693, 9690/750 quickly i.e. 100130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 186/693, 9690/750 is 100130.

LCM(186/693, 9690/750) = 100130

LCM of 186/693, 9690/750

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 186/693,9690/750

Given numbers are 186/693,9690/750

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 186,9690

Least Common Multiple of Numerators i.e. LCM of 186,9690 is 300390.

GCF of Denominators means GCF of 693,750 as per the given fractions.

GCF of 693,750 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 186,9690

LCM of Fractions 186/693,9690/750 is 100130

2 186, 9690
3 93, 4845
31, 1615

∴ So the LCM of the given numbers is 2 x 3 x 31 x 1615 = 300390

Least Common Multiple of 186,9690 with GCF Formula

Least Common Multiple of 186,9690 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 186,9690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,9690) = 6

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

GCF(186,9690) x common factors =6 x 1 = 6

LCM(186,9690) = ( 186 × 9690 ) / 6

LCM(186,9690) = 1802340 / 6

LCM(186,9690) = 300390


Lets's calculate GCF of 693,750

3 693, 750
231, 250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300390/3

Therefore the LCM of Fractions 186/693,9690/750 is 100130

Greatest Common Factor of 693,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,750 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 693,750 . The biggest common factor number is the GCF number.
So the greatest common factor 693,750 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 186/693, 9690/750

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 186/693, 9690/750?

Answer: LCM of Numerators as per given numbers 186/693, 9690/750 is

LCM of Numerators i.e. for 186,9690 is 300390

GCF of denominators i.e. for 693,750 is 3.

Thus, LCM of Fractions is 100130.Finally, LCM of Fractions for 186/693, 9690/750 is 100130.