Given numbers are 149,214,212,149

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

The LCM of 149,214,212,149 is 3379916.

Find LCM of 149,214,212,149 with Prime Factorization

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

2 x 149 x 1 x 107 x 106 x 1 = 3379916

Therefore, the lowest common multiple of 149,214,212,149 is 3379916.

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 214 x 212 x 149 = 1007214968

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

214 : 1, 2, 107, 214

212 : 1, 2, 4, 53, 106, 212

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,214,212,149, is 1.

Now, the common factors can be found like this.

149:149

214:2x 107

212:2x 2x 53

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 149 = 298

Therefore, the value for common factors is 298.

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 = 1007214968/(1x298)

LCM = 1007214968/298

LCM = 3379916

Thus, we can understand that the LCM of 149,214,212,149 is 3379916.

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

• LCM of 994, 605, 608, 653
• LCM of 202, 529, 978, 983
• LCM of 254, 684, 368, 477
• LCM of 111, 719, 765, 567
• LCM of 265, 524, 162, 398

1. What is the LCM of 149, 214, 212, 149?

Answer: LCM of 149, 214, 212, 149 is 3379916.

2. How to calculate the LCM of 149, 214, 212, 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, 214, 212, 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}.