Given numbers are 733,570,360,975

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

The LCM of 733,570,360,975 is 325891800.

Find LCM of 733,570,360,975 with Prime Factorization

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

2 x 3 x 5 x 733 x 19 x 12 x 65 = 325891800

Therefore, the lowest common multiple of 733,570,360,975 is 325891800.

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.

733 x 570 x 360 x 975 = 146651310000

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.

733 : 1, 733

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,570,360,975, is 1.

Now, the common factors can be found like this.

733:733

570:2x 3x 5x 19

360:2x 2x 2x 3x 3x 5

975:3x 5x 5x 13

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

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 146651310000/(1x450)

LCM = 146651310000/450

LCM = 325891800

Thus, we can understand that the LCM of 733,570,360,975 is 325891800.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 406, 268, 363, 665
• LCM of 238, 867, 851, 658
• LCM of 285, 410, 612, 265
• LCM of 499, 807, 845, 247
• LCM of 384, 979, 797, 333

1. What is the LCM of 733, 570, 360, 975?

Answer: LCM of 733, 570, 360, 975 is 325891800.

2. How to calculate the LCM of 733, 570, 360, 975?

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 733, 570, 360, 975.

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}.