Least Common Multiple of 33, 88, 40, 408

Q: How to Find the LCM of 33, 88, 40, 408 ?

Least Common Multiple of 33, 88, 40, 408 = 22440 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, 88, 40, 408) = 2 x 2 x 2 x 3 x 5 x 11 x 17 = 22440.

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, 88, 40, 408 i.e. 22440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 33, 88, 40, 408 is 22440.

LCM(33, 88, 40, 408) = 22440

LCM of 33, 88, 40, 408

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

Least Common Multiple of 33, 88, 40, 408 by common division method
Least Common Multiple of 33, 88, 40, 408 with GCF Formula

Least Common Multiple of 33,88,40,408

Least Common Multiple (LCM) of 33,88,40,408 is 22440

2	33, 88, 40, 408
2	33, 44, 20, 204
2	33, 22, 10, 102
3	33, 11, 5, 51
11	11, 11, 5, 17
	1, 1, 5, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 1 x 1 x 5 x 17 = 22440

Least Common Multiple of 33,88,40,408 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 33,88,40,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,88,40,408) = 1

common factors(in case of two or more numbers have common factors) = 2112

GCF(33,88,40,408) x common factors =1 x 2112 = 2112

LCM(33,88,40,408) = ( 33 × 88 × 40 × 408 ) / 2112

LCM(33,88,40,408) = 47393280 / 2112

LCM(33,88,40,408) = 22440

∴ Least Common Multiple of 33,88,40,408 is 22440

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 33, 88, 40, 408

1. What is the LCM of 33, 88, 40, 408?

Answer: LCM of 33, 88, 40, 408 is 22440.

2. What are the Factors of 22440?

Answer: Factors of 22440 are . There are integers that are factors of 22440

3. How to Find the LCM of 33, 88, 40, 408 ?

Least Common Multiple of 33, 88, 40, 408.

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, 88, 40, 408) = 2 x 2 x 2 x 3 x 5 x 11 x 17 = 22440.