Given numbers are 458,334,420,187,214

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

The LCM of 458,334,420,187,214 is 321385758540.

Find LCM of 458,334,420,187,214 with Prime Factorization

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

2 x 229 x 167 x 210 x 187 x 107 = 321385758540

Therefore, the lowest common multiple of 458,334,420,187,214 is 321385758540.

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.

458 x 334 x 420 x 187 x 214 = 2571086068320

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.

458 : 1, 2, 229, 458

334 : 1, 2, 167, 334

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

187 : 1, 11, 17, 187

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,334,420,187,214, is 1.

Now, the common factors can be found like this.

458:2x 229

334:2x 167

420:2x 2x 3x 5x 7

187:11x 17

214:2x 107

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 = 2571086068320/(1x8)

LCM = 2571086068320/8

LCM = 321385758540

Thus, we can understand that the LCM of 458,334,420,187,214 is 321385758540.

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

• LCM of 548, 138, 657, 341, 687
• LCM of 617, 593, 599, 313, 114
• LCM of 724, 629, 630, 837, 530
• LCM of 479, 364, 477, 459, 508
• LCM of 480, 908, 721, 748, 857

1. What is the LCM of 458, 334, 420, 187, 214?

Answer: LCM of 458, 334, 420, 187, 214 is 321385758540.

2. How to calculate the LCM of 458, 334, 420, 187, 214?

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 458, 334, 420, 187, 214.

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}.