Given numbers are 207,624,393,120,152

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

The LCM of 207,624,393,120,152 is 535831920.

Find LCM of 207,624,393,120,152 with Prime Factorization

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

2 x 2 x 2 x 3 x 69 x 26 x 131 x 5 x 19 = 535831920

Therefore, the lowest common multiple of 207,624,393,120,152 is 535831920.

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.

207 x 624 x 393 x 120 x 152 = 925917557760

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.

207 : 1, 3, 9, 23, 69, 207

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

393 : 1, 3, 131, 393

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

152 : 1, 2, 4, 8, 19, 38, 76, 152

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,624,393,120,152, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

624:2x 2x 2x 2x 3x 13

393:3x 131

120:2x 2x 2x 3x 5

152:2x 2x 2x 19

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 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 925917557760/(1x1728)

LCM = 925917557760/1728

LCM = 535831920

Thus, we can understand that the LCM of 207,624,393,120,152 is 535831920.

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

• LCM of 873, 680, 440, 188, 984
• LCM of 786, 987, 823, 209, 723
• LCM of 197, 247, 452, 872, 586
• LCM of 561, 619, 840, 786, 200
• LCM of 695, 863, 488, 801, 493

1. What is the LCM of 207, 624, 393, 120, 152?

Answer: LCM of 207, 624, 393, 120, 152 is 535831920.

2. How to calculate the LCM of 207, 624, 393, 120, 152?

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 207, 624, 393, 120, 152.

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}.