Least Common Multiple of 219, 314, 324

Q: How to Find the LCM of 219, 314, 324 ?

Least Common Multiple of 219, 314, 324 = 3713364 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(219, 314, 324) = 2 x 2 x 3 x 3 x 3 x 3 x 73 x 157 = 3713364.

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 219, 314, 324 i.e. 3713364 smallest integer divisible by all numbers.

Least common multiple (LCM) of 219, 314, 324 is 3713364.

LCM(219, 314, 324) = 3713364

LCM of 219, 314, 324

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

Least Common Multiple of 219, 314, 324 by common division method
Least Common Multiple of 219, 314, 324 with GCF Formula

Least Common Multiple of 219,314,324

Least Common Multiple (LCM) of 219,314,324 is 3713364

2	219, 314, 324
3	219, 157, 162
	73, 157, 54

∴ So the LCM of the given numbers is 2 x 3 x 73 x 157 x 54 = 3713364

Least Common Multiple of 219,314,324 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 219,314,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,314,324) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(219,314,324) x common factors =1 x 6 = 6

LCM(219,314,324) = ( 219 × 314 × 324 ) / 6

LCM(219,314,324) = 22280184 / 6

LCM(219,314,324) = 3713364

∴ Least Common Multiple of 219,314,324 is 3713364

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 219, 314, 324

1. What is the LCM of 219, 314, 324?

Answer: LCM of 219, 314, 324 is 3713364.

2. What are the Factors of 3713364?

Answer: Factors of 3713364 are . There are integers that are factors of 3713364

3. How to Find the LCM of 219, 314, 324 ?

Least Common Multiple of 219, 314, 324.

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(219, 314, 324) = 2 x 2 x 3 x 3 x 3 x 3 x 73 x 157 = 3713364.