Least Common Multiple of 448, 328, 492

Q: How to Find the LCM of 448, 328, 492 ?

Least Common Multiple of 448, 328, 492 = 55104 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(448, 328, 492) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 41 = 55104.

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 448, 328, 492 i.e. 55104 smallest integer divisible by all numbers.

Least common multiple (LCM) of 448, 328, 492 is 55104.

LCM(448, 328, 492) = 55104

LCM of 448, 328, 492

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

Least Common Multiple of 448, 328, 492 by common division method
Least Common Multiple of 448, 328, 492 with GCF Formula

Least Common Multiple of 448,328,492

Least Common Multiple (LCM) of 448,328,492 is 55104

2	448, 328, 492
2	224, 164, 246
2	112, 82, 123
41	56, 41, 123
	56, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 56 x 1 x 3 = 55104

Least Common Multiple of 448,328,492 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 448,328,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,328,492) = 4

common factors(in case of two or more numbers have common factors) = 328

GCF(448,328,492) x common factors =4 x 328 = 1312

LCM(448,328,492) = ( 448 × 328 × 492 ) / 1312

LCM(448,328,492) = 72296448 / 1312

LCM(448,328,492) = 55104

∴ Least Common Multiple of 448,328,492 is 55104

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 448, 328, 492

1. What is the LCM of 448, 328, 492?

Answer: LCM of 448, 328, 492 is 55104.

2. What are the Factors of 55104?

Answer: Factors of 55104 are . There are integers that are factors of 55104

3. How to Find the LCM of 448, 328, 492 ?

Least Common Multiple of 448, 328, 492.

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(448, 328, 492) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 41 = 55104.