Given numbers are 916,516,214,469

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

The LCM of 916,516,214,469 is 5929824012.

Find LCM of 916,516,214,469 with Prime Factorization

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

2 x 2 x 229 x 129 x 107 x 469 = 5929824012

Therefore, the lowest common multiple of 916,516,214,469 is 5929824012.

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.

916 x 516 x 214 x 469 = 47438592096

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.

916 : 1, 2, 4, 229, 458, 916

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

214 : 1, 2, 107, 214

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,516,214,469, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

516:2x 2x 3x 43

214:2x 107

469:7x 67

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 2 = 8

Therefore, the value for common factors is 8.

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 = 47438592096/(1x8)

LCM = 47438592096/8

LCM = 5929824012

Thus, we can understand that the LCM of 916,516,214,469 is 5929824012.

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

• LCM of 546, 784, 207, 407
• LCM of 991, 116, 925, 616
• LCM of 336, 698, 129, 255
• LCM of 972, 258, 147, 477
• LCM of 275, 797, 250, 525

1. What is the LCM of 916, 516, 214, 469?

Answer: LCM of 916, 516, 214, 469 is 5929824012.

2. How to calculate the LCM of 916, 516, 214, 469?

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 916, 516, 214, 469.

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}.