Least Common Multiple of 33, 11, 66, 312

Q: How to Find the LCM of 33, 11, 66, 312 ?

Least Common Multiple of 33, 11, 66, 312 = 3432 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(33, 11, 66, 312) = 2 x 2 x 2 x 3 x 11 x 13 = 3432.

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 33, 11, 66, 312 i.e. 3432 smallest integer divisible by all numbers.

Least common multiple (LCM) of 33, 11, 66, 312 is 3432.

LCM(33, 11, 66, 312) = 3432

LCM of 33, 11, 66, 312

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

Least Common Multiple of 33, 11, 66, 312 by common division method
Least Common Multiple of 33, 11, 66, 312 with GCF Formula

Least Common Multiple of 33,11,66,312

Least Common Multiple (LCM) of 33,11,66,312 is 3432

2	33, 11, 66, 312
3	33, 11, 33, 156
11	11, 11, 11, 52
	1, 1, 1, 52

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 1 x 1 x 52 = 3432

Least Common Multiple of 33,11,66,312 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 33,11,66,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,11,66,312) = 1

common factors(in case of two or more numbers have common factors) = 2178

GCF(33,11,66,312) x common factors =1 x 2178 = 2178

LCM(33,11,66,312) = ( 33 × 11 × 66 × 312 ) / 2178

LCM(33,11,66,312) = 7474896 / 2178

LCM(33,11,66,312) = 3432

∴ Least Common Multiple of 33,11,66,312 is 3432

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 33, 11, 66, 312

1. What is the LCM of 33, 11, 66, 312?

Answer: LCM of 33, 11, 66, 312 is 3432.

2. What are the Factors of 3432?

Answer: Factors of 3432 are . There are integers that are factors of 3432

3. How to Find the LCM of 33, 11, 66, 312 ?

Least Common Multiple of 33, 11, 66, 312.

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(33, 11, 66, 312) = 2 x 2 x 2 x 3 x 11 x 13 = 3432.