Least Common Multiple of 30/369, 196/866, 786/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/369, 196/866, 786/809 quickly i.e. 385140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/369, 196/866, 786/809 is 385140.

LCM(30/369, 196/866, 786/809) = 385140

LCM of 30/369, 196/866, 786/809

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 30/369,196/866,786/809

Given numbers are 30/369,196/866,786/809

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 30,196,786

Least Common Multiple of Numerators i.e. LCM of 30,196,786 is 385140.

GCF of Denominators means GCF of 369,866,809 as per the given fractions.

GCF of 369,866,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,196,786

LCM of Fractions 30/369,196/866,786/809 is 385140

2 30, 196, 786
3 15, 98, 393
5, 98, 131

∴ So the LCM of the given numbers is 2 x 3 x 5 x 98 x 131 = 385140

Least Common Multiple of 30,196,786 with GCF Formula

Least Common Multiple of 30,196,786 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 30,196,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,196,786) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(30,196,786) x common factors =2 x 6 = 12

LCM(30,196,786) = ( 30 × 196 × 786 ) / 12

LCM(30,196,786) = 4621680 / 12

LCM(30,196,786) = 385140


Lets's calculate GCF of 369,866,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385140/1

Therefore the LCM of Fractions 30/369,196/866,786/809 is 385140

Greatest Common Factor of 369,866,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,866,809 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 369,866,809 . The biggest common factor number is the GCF number.
So the greatest common factor 369,866,809 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 30/369, 196/866, 786/809

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 30/369, 196/866, 786/809?

Answer: LCM of Numerators as per given numbers 30/369, 196/866, 786/809 is

LCM of Numerators i.e. for 30,196,786 is 385140

GCF of denominators i.e. for 369,866,809 is 1.

Thus, LCM of Fractions is 385140.Finally, LCM of Fractions for 30/369, 196/866, 786/809 is 385140.