Least Common Multiple of 363, 315, 280

Q: How to Find the LCM of 363, 315, 280 ?

Least Common Multiple of 363, 315, 280 = 304920 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(363, 315, 280) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 11 = 304920.

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 363, 315, 280 i.e. 304920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 363, 315, 280 is 304920.

LCM(363, 315, 280) = 304920

LCM of 363, 315, 280

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

Least Common Multiple of 363, 315, 280 by common division method
Least Common Multiple of 363, 315, 280 with GCF Formula

Least Common Multiple of 363,315,280

Least Common Multiple (LCM) of 363,315,280 is 304920

3	363, 315, 280
5	121, 105, 280
7	121, 21, 56
	121, 3, 8

∴ So the LCM of the given numbers is 3 x 5 x 7 x 121 x 3 x 8 = 304920

Least Common Multiple of 363,315,280 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 363,315,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,315,280) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(363,315,280) x common factors =1 x 105 = 105

LCM(363,315,280) = ( 363 × 315 × 280 ) / 105

LCM(363,315,280) = 32016600 / 105

LCM(363,315,280) = 304920

∴ Least Common Multiple of 363,315,280 is 304920

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 363, 315, 280

1. What is the LCM of 363, 315, 280?

Answer: LCM of 363, 315, 280 is 304920.

2. What are the Factors of 304920?

Answer: Factors of 304920 are . There are integers that are factors of 304920

3. How to Find the LCM of 363, 315, 280 ?

Least Common Multiple of 363, 315, 280.

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(363, 315, 280) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 11 = 304920.