Given numbers are 468,756,642,149

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

The LCM of 468,756,642,149 is 156687804.

Find LCM of 468,756,642,149 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 21 x 107 x 149 = 156687804

Therefore, the lowest common multiple of 468,756,642,149 is 156687804.

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 756 x 642 x 149 = 33844565664

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

642 : 1, 2, 3, 6, 107, 214, 321, 642

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,756,642,149, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

756:2x 2x 3x 3x 3x 7

642:2x 3x 107

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 33844565664/(1x216)

LCM = 33844565664/216

LCM = 156687804

Thus, we can understand that the LCM of 468,756,642,149 is 156687804.

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

• LCM of 632, 791, 859, 908
• LCM of 668, 361, 855, 423
• LCM of 859, 684, 651, 858
• LCM of 874, 202, 302, 764
• LCM of 381, 925, 891, 222

1. What is the LCM of 468, 756, 642, 149?

Answer: LCM of 468, 756, 642, 149 is 156687804.

2. How to calculate the LCM of 468, 756, 642, 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 468, 756, 642, 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}.