Given numbers are 214,107,260,962

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

The LCM of 214,107,260,962 is 1029340.

Find LCM of 214,107,260,962 with Prime Factorization

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

2 x 13 x 107 x 1 x 1 x 10 x 37 = 1029340

Therefore, the lowest common multiple of 214,107,260,962 is 1029340.

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.

214 x 107 x 260 x 962 = 5727247760

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.

214 : 1, 2, 107, 214

107 : 1, 107

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,107,260,962, is 1.

Now, the common factors can be found like this.

214:2x 107

107:107

260:2x 2x 5x 13

962:2x 13x 37

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 13x 107 = 5564

Therefore, the value for common factors is 5564.

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 = 5727247760/(1x5564)

LCM = 5727247760/5564

LCM = 1029340

Thus, we can understand that the LCM of 214,107,260,962 is 1029340.

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

• LCM of 690, 558, 140, 237
• LCM of 159, 819, 569, 741
• LCM of 537, 265, 189, 751
• LCM of 269, 196, 156, 711
• LCM of 197, 636, 885, 204

1. What is the LCM of 214, 107, 260, 962?

Answer: LCM of 214, 107, 260, 962 is 1029340.

2. How to calculate the LCM of 214, 107, 260, 962?

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 214, 107, 260, 962.

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}.