Given numbers are 219,214,772,273,420

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

The LCM of 219,214,772,273,420 is 8231075580.

Find LCM of 219,214,772,273,420 with Prime Factorization

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

2 x 2 x 3 x 7 x 73 x 107 x 193 x 13 x 5 = 8231075580

Therefore, the lowest common multiple of 219,214,772,273,420 is 8231075580.

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.

219 x 214 x 772 x 273 x 420 = 4148462092320

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.

219 : 1, 3, 73, 219

214 : 1, 2, 107, 214

772 : 1, 2, 4, 193, 386, 772

273 : 1, 3, 7, 13, 21, 39, 91, 273

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,214,772,273,420, is 1.

Now, the common factors can be found like this.

219:3x 73

214:2x 107

772:2x 2x 193

273:3x 7x 13

420:2x 2x 3x 5x 7

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 4148462092320/(1x504)

LCM = 4148462092320/504

LCM = 8231075580

Thus, we can understand that the LCM of 219,214,772,273,420 is 8231075580.

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

• LCM of 239, 424, 183, 210, 956
• LCM of 496, 509, 708, 742, 710
• LCM of 566, 719, 877, 738, 706
• LCM of 941, 690, 314, 358, 836
• LCM of 758, 735, 459, 944, 609

1. What is the LCM of 219, 214, 772, 273, 420?

Answer: LCM of 219, 214, 772, 273, 420 is 8231075580.

2. How to calculate the LCM of 219, 214, 772, 273, 420?

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 219, 214, 772, 273, 420.

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}.