Given numbers are 150,987,374,624

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

The LCM of 150,987,374,624 is 959758800.

Find LCM of 150,987,374,624 with Prime Factorization

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

2 x 3 x 25 x 329 x 187 x 104 = 959758800

Therefore, the lowest common multiple of 150,987,374,624 is 959758800.

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.

150 x 987 x 374 x 624 = 34551316800

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.

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

987 : 1, 3, 7, 21, 47, 141, 329, 987

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,987,374,624, is 1.

Now, the common factors can be found like this.

150:2x 3x 5x 5

987:3x 7x 47

374:2x 11x 17

624:2x 2x 2x 2x 3x 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 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 34551316800/(1x36)

LCM = 34551316800/36

LCM = 959758800

Thus, we can understand that the LCM of 150,987,374,624 is 959758800.

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

• LCM of 399, 293, 171, 372
• LCM of 761, 117, 678, 793
• LCM of 553, 162, 860, 665
• LCM of 140, 614, 122, 272
• LCM of 666, 649, 227, 449

1. What is the LCM of 150, 987, 374, 624?

Answer: LCM of 150, 987, 374, 624 is 959758800.

2. How to calculate the LCM of 150, 987, 374, 624?

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 150, 987, 374, 624.

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}.