Least Common Multiple of 99, 46, 34, 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 99, 46, 34, 792 i.e. 309672 smallest integer divisible by all numbers.

Least common multiple (LCM) of 99, 46, 34, 792 is 309672.

LCM(99, 46, 34, 792) = 309672

LCM of 99, 46, 34, 792

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

LCM of:

Least Common Multiple of 99,46,34,792

Least Common Multiple (LCM) of 99,46,34,792 is 309672

2 99, 46, 34, 792
3 99, 23, 17, 396
3 33, 23, 17, 132
11 11, 23, 17, 44
1, 23, 17, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 23 x 17 x 4 = 309672

Least Common Multiple of 99,46,34,792 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 99,46,34,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,46,34,792) = 1

common factors(in case of two or more numbers have common factors) = 396

GCF(99,46,34,792) x common factors =1 x 396 = 396

LCM(99,46,34,792) = ( 99 × 46 × 34 × 792 ) / 396

LCM(99,46,34,792) = 122630112 / 396

LCM(99,46,34,792) = 309672

∴ Least Common Multiple of 99,46,34,792 is 309672

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 99, 46, 34, 792

1. What is the LCM of 99, 46, 34, 792?

Answer: LCM of 99, 46, 34, 792 is 309672.

2. What are the Factors of 309672?

Answer: Factors of 309672 are . There are integers that are factors of 309672

3. How to Find the LCM of 99, 46, 34, 792 ?

Least Common Multiple of 99, 46, 34, 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(99, 46, 34, 792) = 2 x 2 x 2 x 3 x 3 x 11 x 17 x 23 = 309672.