Least Common Multiple of 46, 414, 792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 46, 414, 792 i.e. 18216 smallest integer divisible by all numbers.

Least common multiple (LCM) of 46, 414, 792 is 18216.

LCM(46, 414, 792) = 18216

LCM of 46, 414, 792

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 46,414,792

Least Common Multiple (LCM) of 46,414,792 is 18216

2 46, 414, 792
3 23, 207, 396
3 23, 69, 132
23 23, 23, 44
1, 1, 44

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 1 x 1 x 44 = 18216

Least Common Multiple of 46,414,792 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 46,414,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,414,792) = 2

common factors(in case of two or more numbers have common factors) = 414

GCF(46,414,792) x common factors =2 x 414 = 828

LCM(46,414,792) = ( 46 × 414 × 792 ) / 828

LCM(46,414,792) = 15082848 / 828

LCM(46,414,792) = 18216

∴ Least Common Multiple of 46,414,792 is 18216

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 46, 414, 792

1. What is the LCM of 46, 414, 792?

Answer: LCM of 46, 414, 792 is 18216.

2. What are the Factors of 18216?

Answer: Factors of 18216 are . There are integers that are factors of 18216

3. How to Find the LCM of 46, 414, 792 ?

Least Common Multiple of 46, 414, 792.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(46, 414, 792) = 2 x 2 x 2 x 3 x 3 x 11 x 23 = 18216.