LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 728, 420, 660, 675

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 728, 420, 660, 675 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 728, 420, 660, 675. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 728,420,660,675

Given numbers are 728,420,660,675

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 728,420,660,675 is 5405400.

Find LCM of 728,420,660,675 with Prime Factorization


2 728, 420, 660, 675
2 364, 210, 330, 675
3 182, 105, 165, 675
5 182, 35, 55, 225
7 182, 7, 11, 45
26, 1, 11, 45

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 5 x 7 x 26 x 1 x 11 x 45 = 5405400

Therefore, the lowest common multiple of 728,420,660,675 is 5405400.

LCM Formula to Find Lowest Common Multiple of 728,420,660,675

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

728 x 420 x 660 x 675 = 136216080000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,420,660,675, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

420:2x 2x 3x 5x 7

660:2x 2x 3x 5x 11

675:3x 3x 3x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 3x 5x 5x 7 = 25200

Therefore, the value for common factors is 25200.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 136216080000/(1x25200)

LCM = 136216080000/25200

LCM = 5405400

Thus, we can understand that the LCM of 728,420,660,675 is 5405400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 728, 420, 660, 675

1. What is the LCM of 728, 420, 660, 675?

Answer: LCM of 728, 420, 660, 675 is 5405400.

2. How to calculate the LCM of 728, 420, 660, 675?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 728, 420, 660, 675.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.