Least Common Multiple of 6384, 3414

Q: How to Find the LCM of 6384, 3414 ?

Least Common Multiple of 6384, 3414 = 3632496 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(6384, 3414) = 2 x 2 x 2 x 2 x 3 x 7 x 19 x 569 = 3632496.

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 6384, 3414 i.e. 3632496 smallest integer divisible by all numbers.

Least common multiple (LCM) of 6384, 3414 is 3632496.

LCM(6384, 3414) = 3632496

LCM of 6384, 3414

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

Least Common Multiple of 6384, 3414 by common division method
Least Common Multiple of 6384, 3414 with GCF Formula

Least Common Multiple of 6384,3414

Least Common Multiple (LCM) of 6384,3414 is 3632496

2	6384, 3414
3	3192, 1707
	1064, 569

∴ So the LCM of the given numbers is 2 x 3 x 1064 x 569 = 3632496

Least Common Multiple of 6384,3414 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 6384,3414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6384,3414) = 6

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

GCF(6384,3414) x common factors =6 x 1 = 6

LCM(6384,3414) = ( 6384 × 3414 ) / 6

LCM(6384,3414) = 21794976 / 6

LCM(6384,3414) = 3632496

∴ Least Common Multiple of 6384,3414 is 3632496

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 6384, 3414

1. What is the LCM of 6384, 3414?

Answer: LCM of 6384, 3414 is 3632496.

2. What are the Factors of 3632496?

Answer: Factors of 3632496 are . There are integers that are factors of 3632496

3. How to Find the LCM of 6384, 3414 ?

Least Common Multiple of 6384, 3414.

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(6384, 3414) = 2 x 2 x 2 x 2 x 3 x 7 x 19 x 569 = 3632496.