Given numbers are 217,916,678,431

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

The LCM of 217,916,678,431 is 29042378148.

Find LCM of 217,916,678,431 with Prime Factorization

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

2 x 217 x 458 x 339 x 431 = 29042378148

Therefore, the lowest common multiple of 217,916,678,431 is 29042378148.

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.

217 x 916 x 678 x 431 = 58084756296

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.

217 : 1, 7, 31, 217

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

678 : 1, 2, 3, 6, 113, 226, 339, 678

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,916,678,431, is 1.

Now, the common factors can be found like this.

217:7x 31

916:2x 2x 229

678:2x 3x 113

431:431

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

2 = 2

Therefore, the value for common factors is 2.

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 = 58084756296/(1x2)

LCM = 58084756296/2

LCM = 29042378148

Thus, we can understand that the LCM of 217,916,678,431 is 29042378148.

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

• LCM of 621, 554, 309, 773
• LCM of 743, 348, 186, 795
• LCM of 671, 547, 158, 674
• LCM of 328, 271, 330, 885
• LCM of 494, 372, 326, 887

1. What is the LCM of 217, 916, 678, 431?

Answer: LCM of 217, 916, 678, 431 is 29042378148.

2. How to calculate the LCM of 217, 916, 678, 431?

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 217, 916, 678, 431.

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}.