Least Common Multiple of 306, 7104

Q: How to Find the LCM of 306, 7104 ?

Least Common Multiple of 306, 7104 = 362304 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(306, 7104) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 37 = 362304.

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 306, 7104 i.e. 362304 smallest integer divisible by all numbers.

Least common multiple (LCM) of 306, 7104 is 362304.

LCM(306, 7104) = 362304

LCM of 306, 7104

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

Least Common Multiple of 306, 7104 by common division method
Least Common Multiple of 306, 7104 with GCF Formula

Least Common Multiple of 306,7104

Least Common Multiple (LCM) of 306,7104 is 362304

2	306, 7104
3	153, 3552
	51, 1184

∴ So the LCM of the given numbers is 2 x 3 x 51 x 1184 = 362304

Least Common Multiple of 306,7104 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 306,7104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,7104) = 6

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

GCF(306,7104) x common factors =6 x 1 = 6

LCM(306,7104) = ( 306 × 7104 ) / 6

LCM(306,7104) = 2173824 / 6

LCM(306,7104) = 362304

∴ Least Common Multiple of 306,7104 is 362304

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 306, 7104

1. What is the LCM of 306, 7104?

Answer: LCM of 306, 7104 is 362304.

2. What are the Factors of 362304?

Answer: Factors of 362304 are . There are integers that are factors of 362304

3. How to Find the LCM of 306, 7104 ?

Least Common Multiple of 306, 7104.

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(306, 7104) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 37 = 362304.