Given numbers are 132,702,460,216,149

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

The LCM of 132,702,460,216,149 is 529265880.

Find LCM of 132,702,460,216,149 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 11 x 13 x 115 x 2 x 149 = 529265880

Therefore, the lowest common multiple of 132,702,460,216,149 is 529265880.

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 702 x 460 x 216 x 149 = 1371857160960

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

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,702,460,216,149, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

702:2x 3x 3x 3x 13

460:2x 2x 5x 23

216:2x 2x 2x 3x 3x 3

149:149

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 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 1371857160960/(1x2592)

LCM = 1371857160960/2592

LCM = 529265880

Thus, we can understand that the LCM of 132,702,460,216,149 is 529265880.

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

• LCM of 840, 308, 285, 385, 751
• LCM of 492, 875, 209, 142, 552
• LCM of 959, 844, 894, 941, 837
• LCM of 935, 761, 762, 148, 772
• LCM of 446, 200, 372, 191, 902

1. What is the LCM of 132, 702, 460, 216, 149?

Answer: LCM of 132, 702, 460, 216, 149 is 529265880.

2. How to calculate the LCM of 132, 702, 460, 216, 149?

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, 702, 460, 216, 149.

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}.