Given numbers are 468,805,257,204,420

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

The LCM of 468,805,257,204,420 is 1645977060.

Find LCM of 468,805,257,204,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 39 x 23 x 257 x 17 x 1 = 1645977060

Therefore, the lowest common multiple of 468,805,257,204,420 is 1645977060.

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.

468 x 805 x 257 x 204 x 420 = 8295724382400

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

805 : 1, 5, 7, 23, 35, 115, 161, 805

257 : 1, 257

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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 468,805,257,204,420, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

805:5x 7x 23

257:257

204:2x 2x 3x 17

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 2x 3x 3x 5x 7 = 5040

Therefore, the value for common factors is 5040.

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 = 8295724382400/(1x5040)

LCM = 8295724382400/5040

LCM = 1645977060

Thus, we can understand that the LCM of 468,805,257,204,420 is 1645977060.

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

• LCM of 978, 533, 502, 390, 682
• LCM of 866, 853, 946, 905, 246
• LCM of 358, 391, 101, 804, 599
• LCM of 325, 689, 163, 264, 209
• LCM of 936, 538, 393, 467, 384

1. What is the LCM of 468, 805, 257, 204, 420?

Answer: LCM of 468, 805, 257, 204, 420 is 1645977060.

2. How to calculate the LCM of 468, 805, 257, 204, 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 468, 805, 257, 204, 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}.