Least Common Multiple of 384, 756, 390, 821, 465

Q: How to Find the LCM of 384, 756, 390, 821, 465 ?

Least Common Multiple of 384, 756, 390, 821, 465 = 40021188480 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(384, 756, 390, 821, 465) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 x 31 x 821 = 40021188480.

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 384, 756, 390, 821, 465 i.e. 40021188480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 384, 756, 390, 821, 465 is 40021188480.

LCM(384, 756, 390, 821, 465) = 40021188480

LCM of 384, 756, 390, 821, 465

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

Least Common Multiple of 384, 756, 390, 821, 465 by common division method
Least Common Multiple of 384, 756, 390, 821, 465 with GCF Formula

Least Common Multiple of 384,756,390,821,465

Least Common Multiple (LCM) of 384,756,390,821,465 is 40021188480

2	384, 756, 390, 821, 465
2	192, 378, 195, 821, 465
3	96, 189, 195, 821, 465
5	32, 63, 65, 821, 155
	32, 63, 13, 821, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 32 x 63 x 13 x 821 x 31 = 40021188480

Least Common Multiple of 384,756,390,821,465 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 384,756,390,821,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,756,390,821,465) = 1

common factors(in case of two or more numbers have common factors) = 1080

GCF(384,756,390,821,465) x common factors =1 x 1080 = 1080

LCM(384,756,390,821,465) = ( 384 × 756 × 390 × 821 × 465 ) / 1080

LCM(384,756,390,821,465) = 43222883558400 / 1080

LCM(384,756,390,821,465) = 40021188480

∴ Least Common Multiple of 384,756,390,821,465 is 40021188480

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 384, 756, 390, 821, 465

1. What is the LCM of 384, 756, 390, 821, 465?

Answer: LCM of 384, 756, 390, 821, 465 is 40021188480.

2. What are the Factors of 40021188480?

Answer: Factors of 40021188480 are . There are integers that are factors of 40021188480

3. How to Find the LCM of 384, 756, 390, 821, 465 ?

Least Common Multiple of 384, 756, 390, 821, 465.

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(384, 756, 390, 821, 465) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 x 31 x 821 = 40021188480.