Given numbers are 468,106,880,167,152

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

The LCM of 468,106,880,167,152 is 17314680240.

Find LCM of 468,106,880,167,152 with Prime Factorization

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

2 x 2 x 2 x 117 x 53 x 110 x 167 x 19 = 17314680240

Therefore, the lowest common multiple of 468,106,880,167,152 is 17314680240.

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.

468 x 106 x 880 x 167 x 152 = 1108139535360

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

106 : 1, 2, 53, 106

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

167 : 1, 167

152 : 1, 2, 4, 8, 19, 38, 76, 152

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,106,880,167,152, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

106:2x 53

880:2x 2x 2x 2x 5x 11

167:167

152:2x 2x 2x 19

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 2 = 64

Therefore, the value for common factors is 64.

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 = 1108139535360/(1x64)

LCM = 1108139535360/64

LCM = 17314680240

Thus, we can understand that the LCM of 468,106,880,167,152 is 17314680240.

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

• LCM of 191, 858, 811, 462, 191
• LCM of 190, 885, 444, 275, 834
• LCM of 202, 463, 619, 257, 507
• LCM of 941, 939, 790, 623, 615
• LCM of 774, 133, 185, 608, 100

1. What is the LCM of 468, 106, 880, 167, 152?

Answer: LCM of 468, 106, 880, 167, 152 is 17314680240.

2. How to calculate the LCM of 468, 106, 880, 167, 152?

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 468, 106, 880, 167, 152.

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}.