Least Common Multiple of 7344, 9648

Q: How to Find the LCM of 7344, 9648 ?

Least Common Multiple of 7344, 9648 = 492048 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(7344, 9648) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 67 = 492048.

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 7344, 9648 i.e. 492048 smallest integer divisible by all numbers.

Least common multiple (LCM) of 7344, 9648 is 492048.

LCM(7344, 9648) = 492048

LCM of 7344, 9648

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

Least Common Multiple of 7344, 9648 by common division method
Least Common Multiple of 7344, 9648 with GCF Formula

Least Common Multiple of 7344,9648

Least Common Multiple (LCM) of 7344,9648 is 492048

2	7344, 9648
2	3672, 4824
2	1836, 2412
2	918, 1206
3	459, 603
3	153, 201
	51, 67

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 51 x 67 = 492048

Least Common Multiple of 7344,9648 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 7344,9648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7344,9648) = 144

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

GCF(7344,9648) x common factors =144 x 1 = 144

LCM(7344,9648) = ( 7344 × 9648 ) / 144

LCM(7344,9648) = 70854912 / 144

LCM(7344,9648) = 492048

∴ Least Common Multiple of 7344,9648 is 492048

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 7344, 9648

1. What is the LCM of 7344, 9648?

Answer: LCM of 7344, 9648 is 492048.

2. What are the Factors of 492048?

Answer: Factors of 492048 are . There are integers that are factors of 492048

3. How to Find the LCM of 7344, 9648 ?

Least Common Multiple of 7344, 9648.

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(7344, 9648) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17 x 67 = 492048.