Given numbers are 766,136,149,407

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

The LCM of 766,136,149,407 is 3158772584.

Find LCM of 766,136,149,407 with Prime Factorization

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

2 x 383 x 68 x 149 x 407 = 3158772584

Therefore, the lowest common multiple of 766,136,149,407 is 3158772584.

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.

766 x 136 x 149 x 407 = 6317545168

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.

766 : 1, 2, 383, 766

136 : 1, 2, 4, 8, 17, 34, 68, 136

149 : 1, 149

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,136,149,407, is 1.

Now, the common factors can be found like this.

766:2x 383

136:2x 2x 2x 17

149:149

407:11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 6317545168/(1x2)

LCM = 6317545168/2

LCM = 3158772584

Thus, we can understand that the LCM of 766,136,149,407 is 3158772584.

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

• LCM of 768, 708, 513, 689
• LCM of 108, 389, 625, 205
• LCM of 758, 799, 573, 287
• LCM of 981, 140, 706, 592
• LCM of 288, 536, 765, 469

1. What is the LCM of 766, 136, 149, 407?

Answer: LCM of 766, 136, 149, 407 is 3158772584.

2. How to calculate the LCM of 766, 136, 149, 407?

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 766, 136, 149, 407.

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}.