Least Common Multiple of 3492, 5184

Q: How to Find the LCM of 3492, 5184 ?

Least Common Multiple of 3492, 5184 = 502848 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(3492, 5184) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 97 = 502848.

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 3492, 5184 i.e. 502848 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3492, 5184 is 502848.

LCM(3492, 5184) = 502848

LCM of 3492, 5184

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

Least Common Multiple of 3492, 5184 by common division method
Least Common Multiple of 3492, 5184 with GCF Formula

Least Common Multiple of 3492,5184

Least Common Multiple (LCM) of 3492,5184 is 502848

2	3492, 5184
2	1746, 2592
3	873, 1296
3	291, 432
	97, 144

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 97 x 144 = 502848

Least Common Multiple of 3492,5184 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 3492,5184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3492,5184) = 36

common factors(in case of two or more numbers have common factors) = 1

GCF(3492,5184) x common factors =36 x 1 = 36

LCM(3492,5184) = ( 3492 × 5184 ) / 36

LCM(3492,5184) = 18102528 / 36

LCM(3492,5184) = 502848

∴ Least Common Multiple of 3492,5184 is 502848

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 3492, 5184

1. What is the LCM of 3492, 5184?

Answer: LCM of 3492, 5184 is 502848.

2. What are the Factors of 502848?

Answer: Factors of 502848 are . There are integers that are factors of 502848

3. How to Find the LCM of 3492, 5184 ?

Least Common Multiple of 3492, 5184.

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(3492, 5184) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 97 = 502848.