Given numbers are 214,478,677,924,359

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

The LCM of 214,478,677,924,359 is 5742972902436.

Find LCM of 214,478,677,924,359 with Prime Factorization

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

2 x 107 x 239 x 677 x 462 x 359 = 5742972902436

Therefore, the lowest common multiple of 214,478,677,924,359 is 5742972902436.

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 478 x 677 x 924 x 359 = 22971891609744

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

478 : 1, 2, 239, 478

677 : 1, 677

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

359 : 1, 359

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,478,677,924,359, is 1.

Now, the common factors can be found like this.

214:2x 107

478:2x 239

677:677

924:2x 2x 3x 7x 11

359:359

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 22971891609744/(1x4)

LCM = 22971891609744/4

LCM = 5742972902436

Thus, we can understand that the LCM of 214,478,677,924,359 is 5742972902436.

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

• LCM of 235, 806, 736, 873, 746
• LCM of 830, 465, 367, 955, 631
• LCM of 978, 715, 914, 240, 789
• LCM of 992, 188, 983, 821, 320
• LCM of 233, 323, 762, 337, 673

1. What is the LCM of 214, 478, 677, 924, 359?

Answer: LCM of 214, 478, 677, 924, 359 is 5742972902436.

2. How to calculate the LCM of 214, 478, 677, 924, 359?

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, 478, 677, 924, 359.

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}.