Given numbers are 408,102,167,936

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

The LCM of 408,102,167,936 is 2657304.

Find LCM of 408,102,167,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 1 x 1 x 167 x 39 = 2657304

Therefore, the lowest common multiple of 408,102,167,936 is 2657304.

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.

408 x 102 x 167 x 936 = 6505080192

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

102 : 1, 2, 3, 6, 17, 34, 51, 102

167 : 1, 167

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,102,167,936, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

102:2x 3x 17

167:167

936:2x 2x 2x 3x 3x 13

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 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 6505080192/(1x2448)

LCM = 6505080192/2448

LCM = 2657304

Thus, we can understand that the LCM of 408,102,167,936 is 2657304.

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

• LCM of 875, 636, 544, 406
• LCM of 716, 217, 787, 173
• LCM of 427, 858, 754, 367
• LCM of 675, 478, 313, 733
• LCM of 870, 518, 994, 172

1. What is the LCM of 408, 102, 167, 936?

Answer: LCM of 408, 102, 167, 936 is 2657304.

2. How to calculate the LCM of 408, 102, 167, 936?

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 408, 102, 167, 936.

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}.