Given numbers are 351,195,750,770,360

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

The LCM of 351,195,750,770,360 is 27027000.

Find LCM of 351,195,750,770,360 with Prime Factorization

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

2 x 3 x 3 x 5 x 13 x 3 x 1 x 25 x 77 x 4 = 27027000

Therefore, the lowest common multiple of 351,195,750,770,360 is 27027000.

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.

351 x 195 x 750 x 770 x 360 = 14229715500000

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

195 : 1, 3, 5, 13, 15, 39, 65, 195

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,195,750,770,360, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

195:3x 5x 13

750:2x 3x 5x 5x 5

770:2x 5x 7x 11

360:2x 2x 2x 3x 3x 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 3x 3x 3x 3x 5x 5x 5x 13 = 526500

Therefore, the value for common factors is 526500.

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 = 14229715500000/(1x526500)

LCM = 14229715500000/526500

LCM = 27027000

Thus, we can understand that the LCM of 351,195,750,770,360 is 27027000.

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

• LCM of 561, 586, 858, 632, 570
• LCM of 589, 575, 795, 588, 192
• LCM of 369, 513, 927, 527, 347
• LCM of 853, 390, 303, 968, 665
• LCM of 175, 260, 544, 767, 979

1. What is the LCM of 351, 195, 750, 770, 360?

Answer: LCM of 351, 195, 750, 770, 360 is 27027000.

2. How to calculate the LCM of 351, 195, 750, 770, 360?

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 351, 195, 750, 770, 360.

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}.