Given numbers are 620,192,564,750,135

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

The LCM of 620,192,564,750,135 is 314712000.

Find LCM of 620,192,564,750,135 with Prime Factorization

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

2 x 2 x 3 x 5 x 31 x 16 x 47 x 25 x 9 = 314712000

Therefore, the lowest common multiple of 620,192,564,750,135 is 314712000.

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.

620 x 192 x 564 x 750 x 135 = 6797779200000

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.

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,192,564,750,135, is 1.

Now, the common factors can be found like this.

620:2x 2x 5x 31

192:2x 2x 2x 2x 2x 2x 3

564:2x 2x 3x 47

750:2x 3x 5x 5x 5

135:3x 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 2x 2x 2x 3x 3x 3x 5x 5 = 21600

Therefore, the value for common factors is 21600.

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 = 6797779200000/(1x21600)

LCM = 6797779200000/21600

LCM = 314712000

Thus, we can understand that the LCM of 620,192,564,750,135 is 314712000.

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

• LCM of 478, 763, 510, 450, 900
• LCM of 410, 455, 508, 258, 980
• LCM of 743, 303, 837, 918, 374
• LCM of 920, 676, 475, 243, 224
• LCM of 891, 534, 914, 149, 138

1. What is the LCM of 620, 192, 564, 750, 135?

Answer: LCM of 620, 192, 564, 750, 135 is 314712000.

2. How to calculate the LCM of 620, 192, 564, 750, 135?

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 620, 192, 564, 750, 135.

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}.