Least Common Multiple of 2304, 3678

Q: How to Find the LCM of 2304, 3678 ?

Least Common Multiple of 2304, 3678 = 1412352 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(2304, 3678) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 613 = 1412352.

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 2304, 3678 i.e. 1412352 smallest integer divisible by all numbers.

Least common multiple (LCM) of 2304, 3678 is 1412352.

LCM(2304, 3678) = 1412352

LCM of 2304, 3678

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

Least Common Multiple of 2304, 3678 by common division method
Least Common Multiple of 2304, 3678 with GCF Formula

Least Common Multiple of 2304,3678

Least Common Multiple (LCM) of 2304,3678 is 1412352

2	2304, 3678
3	1152, 1839
	384, 613

∴ So the LCM of the given numbers is 2 x 3 x 384 x 613 = 1412352

Least Common Multiple of 2304,3678 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 2304,3678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2304,3678) = 6

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

GCF(2304,3678) x common factors =6 x 1 = 6

LCM(2304,3678) = ( 2304 × 3678 ) / 6

LCM(2304,3678) = 8474112 / 6

LCM(2304,3678) = 1412352

∴ Least Common Multiple of 2304,3678 is 1412352

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 2304, 3678

1. What is the LCM of 2304, 3678?

Answer: LCM of 2304, 3678 is 1412352.

2. What are the Factors of 1412352?

Answer: Factors of 1412352 are . There are integers that are factors of 1412352

3. How to Find the LCM of 2304, 3678 ?

Least Common Multiple of 2304, 3678.

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(2304, 3678) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 613 = 1412352.