Given numbers are 214,533,871,715

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

The LCM of 214,533,871,715 is 420318470.

Find LCM of 214,533,871,715 with Prime Factorization

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

13 x 214 x 41 x 67 x 55 = 420318470

Therefore, the lowest common multiple of 214,533,871,715 is 420318470.

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 533 x 871 x 715 = 71033821430

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

533 : 1, 13, 41, 533

871 : 1, 13, 67, 871

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,533,871,715, is 1.

Now, the common factors can be found like this.

214:2x 107

533:13x 41

871:13x 67

715:5x 11x 13

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 71033821430/(1x169)

LCM = 71033821430/169

LCM = 420318470

Thus, we can understand that the LCM of 214,533,871,715 is 420318470.

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

• LCM of 735, 568, 995, 700
• LCM of 167, 193, 997, 723
• LCM of 758, 486, 773, 668
• LCM of 487, 367, 856, 569
• LCM of 607, 500, 158, 505

1. What is the LCM of 214, 533, 871, 715?

Answer: LCM of 214, 533, 871, 715 is 420318470.

2. How to calculate the LCM of 214, 533, 871, 715?

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, 533, 871, 715.

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}.