Least Common Multiple of 69/30, 40/431, 322/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/30, 40/431, 322/796 quickly i.e. 19320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/30, 40/431, 322/796 is 19320.

LCM(69/30, 40/431, 322/796) = 19320

LCM of 69/30, 40/431, 322/796

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 69/30,40/431,322/796

Given numbers are 69/30,40/431,322/796

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 69,40,322

Least Common Multiple of Numerators i.e. LCM of 69,40,322 is 19320.

GCF of Denominators means GCF of 30,431,796 as per the given fractions.

GCF of 30,431,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,40,322

LCM of Fractions 69/30,40/431,322/796 is 19320

2 69, 40, 322
23 69, 20, 161
3, 20, 7

∴ So the LCM of the given numbers is 2 x 23 x 3 x 20 x 7 = 19320

Least Common Multiple of 69,40,322 with GCF Formula

Least Common Multiple of 69,40,322 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 69,40,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,40,322) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(69,40,322) x common factors =1 x 46 = 46

LCM(69,40,322) = ( 69 × 40 × 322 ) / 46

LCM(69,40,322) = 888720 / 46

LCM(69,40,322) = 19320


Lets's calculate GCF of 30,431,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19320/1

Therefore the LCM of Fractions 69/30,40/431,322/796 is 19320

Greatest Common Factor of 30,431,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,431,796 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 30,431,796 . The biggest common factor number is the GCF number.
So the greatest common factor 30,431,796 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 69/30, 40/431, 322/796

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 69/30, 40/431, 322/796?

Answer: LCM of Numerators as per given numbers 69/30, 40/431, 322/796 is

LCM of Numerators i.e. for 69,40,322 is 19320

GCF of denominators i.e. for 30,431,796 is 1.

Thus, LCM of Fractions is 19320.Finally, LCM of Fractions for 69/30, 40/431, 322/796 is 19320.