Least Common Multiple of 603, 684, 342

Q: How to Find the LCM of 603, 684, 342 ?

Least Common Multiple of 603, 684, 342 = 45828 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(603, 684, 342) = 2 x 2 x 3 x 3 x 19 x 67 = 45828.

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 603, 684, 342 i.e. 45828 smallest integer divisible by all numbers.

Least common multiple (LCM) of 603, 684, 342 is 45828.

LCM(603, 684, 342) = 45828

LCM of 603, 684, 342

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

Least Common Multiple of 603, 684, 342 by common division method
Least Common Multiple of 603, 684, 342 with GCF Formula

Least Common Multiple of 603,684,342

Least Common Multiple (LCM) of 603,684,342 is 45828

2	603, 684, 342
3	603, 342, 171
3	201, 114, 57
19	67, 38, 19
	67, 2, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 67 x 2 x 1 = 45828

Least Common Multiple of 603,684,342 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 603,684,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,684,342) = 9

common factors(in case of two or more numbers have common factors) = 342

GCF(603,684,342) x common factors =9 x 342 = 3078

LCM(603,684,342) = ( 603 × 684 × 342 ) / 3078

LCM(603,684,342) = 141058584 / 3078

LCM(603,684,342) = 45828

∴ Least Common Multiple of 603,684,342 is 45828

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 603, 684, 342

1. What is the LCM of 603, 684, 342?

Answer: LCM of 603, 684, 342 is 45828.

2. What are the Factors of 45828?

Answer: Factors of 45828 are . There are integers that are factors of 45828

3. How to Find the LCM of 603, 684, 342 ?

Least Common Multiple of 603, 684, 342.

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(603, 684, 342) = 2 x 2 x 3 x 3 x 19 x 67 = 45828.