Given numbers are 460,658,268,372,120

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

The LCM of 460,658,268,372,120 is 1885999080.

Find LCM of 460,658,268,372,120 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 329 x 67 x 31 x 2 = 1885999080

Therefore, the lowest common multiple of 460,658,268,372,120 is 1885999080.

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.

460 x 658 x 268 x 372 x 120 = 3621118233600

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.

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

658 : 1, 2, 7, 14, 47, 94, 329, 658

268 : 1, 2, 4, 67, 134, 268

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,658,268,372,120, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

658:2x 7x 47

268:2x 2x 67

372:2x 2x 3x 31

120:2x 2x 2x 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 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 3621118233600/(2x960)

LCM = 3621118233600/1920

LCM = 1885999080

Thus, we can understand that the LCM of 460,658,268,372,120 is 1885999080.

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

• LCM of 200, 921, 842, 439, 564
• LCM of 333, 305, 178, 730, 242
• LCM of 426, 156, 462, 162, 472
• LCM of 369, 129, 782, 844, 150
• LCM of 750, 548, 957, 658, 337

1. What is the LCM of 460, 658, 268, 372, 120?

Answer: LCM of 460, 658, 268, 372, 120 is 1885999080.

2. How to calculate the LCM of 460, 658, 268, 372, 120?

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 460, 658, 268, 372, 120.

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}.