Given numbers are 120,314,990,460

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

The LCM of 120,314,990,460 is 14299560.

Find LCM of 120,314,990,460 with Prime Factorization

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

2 x 2 x 3 x 5 x 2 x 157 x 33 x 23 = 14299560

Therefore, the lowest common multiple of 120,314,990,460 is 14299560.

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.

120 x 314 x 990 x 460 = 17159472000

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.

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

314 : 1, 2, 157, 314

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,314,990,460, is 2.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

314:2x 157

990:2x 3x 3x 5x 11

460:2x 2x 5x 23

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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 17159472000/(2x600)

LCM = 17159472000/1200

LCM = 14299560

Thus, we can understand that the LCM of 120,314,990,460 is 14299560.

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

• LCM of 379, 218, 958, 934
• LCM of 565, 535, 692, 541
• LCM of 445, 698, 281, 124
• LCM of 582, 590, 464, 245
• LCM of 509, 661, 489, 910

1. What is the LCM of 120, 314, 990, 460?

Answer: LCM of 120, 314, 990, 460 is 14299560.

2. How to calculate the LCM of 120, 314, 990, 460?

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 120, 314, 990, 460.

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}.