Least Common Multiple of 514, 438, 288

Q: How to Find the LCM of 514, 438, 288 ?

Least Common Multiple of 514, 438, 288 = 5403168 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(514, 438, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 73 x 257 = 5403168.

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 514, 438, 288 i.e. 5403168 smallest integer divisible by all numbers.

Least common multiple (LCM) of 514, 438, 288 is 5403168.

LCM(514, 438, 288) = 5403168

LCM of 514, 438, 288

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

Least Common Multiple of 514, 438, 288 by common division method
Least Common Multiple of 514, 438, 288 with GCF Formula

Least Common Multiple of 514,438,288

Least Common Multiple (LCM) of 514,438,288 is 5403168

2	514, 438, 288
3	257, 219, 144
	257, 73, 48

∴ So the LCM of the given numbers is 2 x 3 x 257 x 73 x 48 = 5403168

Least Common Multiple of 514,438,288 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 514,438,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,438,288) = 2

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

GCF(514,438,288) x common factors =2 x 6 = 12

LCM(514,438,288) = ( 514 × 438 × 288 ) / 12

LCM(514,438,288) = 64838016 / 12

LCM(514,438,288) = 5403168

∴ Least Common Multiple of 514,438,288 is 5403168

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 514, 438, 288

1. What is the LCM of 514, 438, 288?

Answer: LCM of 514, 438, 288 is 5403168.

2. What are the Factors of 5403168?

Answer: Factors of 5403168 are . There are integers that are factors of 5403168

3. How to Find the LCM of 514, 438, 288 ?

Least Common Multiple of 514, 438, 288.

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(514, 438, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 73 x 257 = 5403168.