Least Common Multiple of 408, 420, 693

Q: How to Find the LCM of 408, 420, 693 ?

Least Common Multiple of 408, 420, 693 = 471240 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(408, 420, 693) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 17 = 471240.

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 408, 420, 693 i.e. 471240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 408, 420, 693 is 471240.

LCM(408, 420, 693) = 471240

LCM of 408, 420, 693

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

Least Common Multiple of 408, 420, 693 by common division method
Least Common Multiple of 408, 420, 693 with GCF Formula

Least Common Multiple of 408,420,693

Least Common Multiple (LCM) of 408,420,693 is 471240

2	408, 420, 693
2	204, 210, 693
3	102, 105, 693
7	34, 35, 231
	34, 5, 33

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 34 x 5 x 33 = 471240

Least Common Multiple of 408,420,693 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 408,420,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,420,693) = 3

common factors(in case of two or more numbers have common factors) = 84

GCF(408,420,693) x common factors =3 x 84 = 252

LCM(408,420,693) = ( 408 × 420 × 693 ) / 252

LCM(408,420,693) = 118752480 / 252

LCM(408,420,693) = 471240

∴ Least Common Multiple of 408,420,693 is 471240

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 408, 420, 693

1. What is the LCM of 408, 420, 693?

Answer: LCM of 408, 420, 693 is 471240.

2. What are the Factors of 471240?

Answer: Factors of 471240 are . There are integers that are factors of 471240

3. How to Find the LCM of 408, 420, 693 ?

Least Common Multiple of 408, 420, 693.

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(408, 420, 693) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 17 = 471240.