Given numbers are 360,750,730,785

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

The LCM of 360,750,730,785 is 103149000.

Find LCM of 360,750,730,785 with Prime Factorization

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

2 x 3 x 5 x 12 x 25 x 73 x 157 = 103149000

Therefore, the lowest common multiple of 360,750,730,785 is 103149000.

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.

360 x 750 x 730 x 785 = 154723500000

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.

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

730 : 1, 2, 5, 10, 73, 146, 365, 730

785 : 1, 5, 157, 785

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,750,730,785, is 5.

Now, the common factors can be found like this.

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

750:2x 3x 5x 5x 5

730:2x 5x 73

785:5x 157

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 154723500000/(5x300)

LCM = 154723500000/1500

LCM = 103149000

Thus, we can understand that the LCM of 360,750,730,785 is 103149000.

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

• LCM of 583, 108, 697, 230
• LCM of 128, 848, 607, 423
• LCM of 726, 798, 231, 419
• LCM of 328, 830, 594, 174
• LCM of 398, 549, 946, 710

1. What is the LCM of 360, 750, 730, 785?

Answer: LCM of 360, 750, 730, 785 is 103149000.

2. How to calculate the LCM of 360, 750, 730, 785?

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 360, 750, 730, 785.

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}.