Least Common Multiple of 504, 822, 420

Q: How to Find the LCM of 504, 822, 420 ?

Least Common Multiple of 504, 822, 420 = 345240 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(504, 822, 420) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 137 = 345240.

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 504, 822, 420 i.e. 345240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 504, 822, 420 is 345240.

LCM(504, 822, 420) = 345240

LCM of 504, 822, 420

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

Least Common Multiple of 504, 822, 420 by common division method
Least Common Multiple of 504, 822, 420 with GCF Formula

Least Common Multiple of 504,822,420

Least Common Multiple (LCM) of 504,822,420 is 345240

2	504, 822, 420
2	252, 411, 210
3	126, 411, 105
7	42, 137, 35
	6, 137, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 6 x 137 x 5 = 345240

Least Common Multiple of 504,822,420 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 504,822,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,822,420) = 6

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

GCF(504,822,420) x common factors =6 x 84 = 504

LCM(504,822,420) = ( 504 × 822 × 420 ) / 504

LCM(504,822,420) = 174000960 / 504

LCM(504,822,420) = 345240

∴ Least Common Multiple of 504,822,420 is 345240

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 504, 822, 420

1. What is the LCM of 504, 822, 420?

Answer: LCM of 504, 822, 420 is 345240.

2. What are the Factors of 345240?

Answer: Factors of 345240 are . There are integers that are factors of 345240

3. How to Find the LCM of 504, 822, 420 ?

Least Common Multiple of 504, 822, 420.

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(504, 822, 420) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 137 = 345240.