Given numbers are 132,416,376,460

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

The LCM of 132,416,376,460 is 74199840.

Find LCM of 132,416,376,460 with Prime Factorization

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

2 x 2 x 2 x 33 x 52 x 47 x 115 = 74199840

Therefore, the lowest common multiple of 132,416,376,460 is 74199840.

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.

132 x 416 x 376 x 460 = 9497579520

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

376 : 1, 2, 4, 8, 47, 94, 188, 376

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,416,376,460, is 4.

Now, the common factors can be found like this.

132:2x 2x 3x 11

416:2x 2x 2x 2x 2x 13

376:2x 2x 2x 47

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 9497579520/(4x32)

LCM = 9497579520/128

LCM = 74199840

Thus, we can understand that the LCM of 132,416,376,460 is 74199840.

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

• LCM of 210, 173, 777, 791
• LCM of 801, 783, 111, 444
• LCM of 499, 724, 179, 897
• LCM of 451, 653, 273, 488
• LCM of 562, 630, 366, 794

1. What is the LCM of 132, 416, 376, 460?

Answer: LCM of 132, 416, 376, 460 is 74199840.

2. How to calculate the LCM of 132, 416, 376, 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 132, 416, 376, 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}.