Given numbers are 214,976,496,465

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

The LCM of 214,976,496,465 is 48560880.

Find LCM of 214,976,496,465 with Prime Factorization

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

2 x 2 x 2 x 2 x 31 x 107 x 61 x 1 x 15 = 48560880

Therefore, the lowest common multiple of 214,976,496,465 is 48560880.

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 976 x 496 x 465 = 48172392960

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

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,976,496,465, is 1.

Now, the common factors can be found like this.

214:2x 107

976:2x 2x 2x 2x 61

496:2x 2x 2x 2x 31

465:3x 5x 31

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 2x 2x 2x 31 = 992

Therefore, the value for common factors is 992.

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 = 48172392960/(1x992)

LCM = 48172392960/992

LCM = 48560880

Thus, we can understand that the LCM of 214,976,496,465 is 48560880.

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

• LCM of 283, 488, 939, 934
• LCM of 867, 529, 153, 428
• LCM of 109, 670, 598, 371
• LCM of 443, 243, 527, 715
• LCM of 249, 952, 806, 169

1. What is the LCM of 214, 976, 496, 465?

Answer: LCM of 214, 976, 496, 465 is 48560880.

2. How to calculate the LCM of 214, 976, 496, 465?

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, 976, 496, 465.

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}.