Given numbers are 149,724,468,214,149

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

The LCM of 149,724,468,214,149 is 1350499644.

Find LCM of 149,724,468,214,149 with Prime Factorization

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

2 x 2 x 149 x 1 x 181 x 117 x 107 x 1 = 1350499644

Therefore, the lowest common multiple of 149,724,468,214,149 is 1350499644.

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.

149 x 724 x 468 x 214 x 149 = 1609795575648

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.

149 : 1, 149

724 : 1, 2, 4, 181, 362, 724

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

214 : 1, 2, 107, 214

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,724,468,214,149, is 1.

Now, the common factors can be found like this.

149:149

724:2x 2x 181

468:2x 2x 3x 3x 13

214:2x 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 149 = 1192

Therefore, the value for common factors is 1192.

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 = 1609795575648/(1x1192)

LCM = 1609795575648/1192

LCM = 1350499644

Thus, we can understand that the LCM of 149,724,468,214,149 is 1350499644.

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

• LCM of 755, 286, 715, 293, 124
• LCM of 872, 776, 233, 267, 875
• LCM of 483, 789, 740, 954, 888
• LCM of 507, 455, 881, 235, 682
• LCM of 273, 618, 251, 304, 404

1. What is the LCM of 149, 724, 468, 214, 149?

Answer: LCM of 149, 724, 468, 214, 149 is 1350499644.

2. How to calculate the LCM of 149, 724, 468, 214, 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 149, 724, 468, 214, 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}.