Least Common Multiple of 32/830, 212/294, 813/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/830, 212/294, 813/822 quickly i.e. 689424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/830, 212/294, 813/822 is 689424.

LCM(32/830, 212/294, 813/822) = 689424

LCM of 32/830, 212/294, 813/822

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 32/830,212/294,813/822

Given numbers are 32/830,212/294,813/822

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 32,212,813

Least Common Multiple of Numerators i.e. LCM of 32,212,813 is 1378848.

GCF of Denominators means GCF of 830,294,822 as per the given fractions.

GCF of 830,294,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,212,813

LCM of Fractions 32/830,212/294,813/822 is 689424

2 32, 212, 813
2 16, 106, 813
8, 53, 813

∴ So the LCM of the given numbers is 2 x 2 x 8 x 53 x 813 = 1378848

Least Common Multiple of 32,212,813 with GCF Formula

Least Common Multiple of 32,212,813 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 32,212,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,212,813) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(32,212,813) x common factors =1 x 4 = 4

LCM(32,212,813) = ( 32 × 212 × 813 ) / 4

LCM(32,212,813) = 5515392 / 4

LCM(32,212,813) = 1378848


Lets's calculate GCF of 830,294,822

2 830, 294, 822
415, 147, 411

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1378848/2

Therefore the LCM of Fractions 32/830,212/294,813/822 is 689424

Greatest Common Factor of 830,294,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,294,822 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 830,294,822 . The biggest common factor number is the GCF number.
So the greatest common factor 830,294,822 is 2.


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 32/830, 212/294, 813/822

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 32/830, 212/294, 813/822?

Answer: LCM of Numerators as per given numbers 32/830, 212/294, 813/822 is

LCM of Numerators i.e. for 32,212,813 is 1378848

GCF of denominators i.e. for 830,294,822 is 2.

Thus, LCM of Fractions is 689424.Finally, LCM of Fractions for 32/830, 212/294, 813/822 is 689424.