Given numbers are 470,130,946,208,220

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

The LCM of 470,130,946,208,220 is 23120240.

Find LCM of 470,130,946,208,220 with Prime Factorization

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

2 x 2 x 5 x 11 x 13 x 47 x 1 x 43 x 4 x 1 = 23120240

Therefore, the lowest common multiple of 470,130,946,208,220 is 23120240.

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.

470 x 130 x 946 x 208 x 220 = 2644955456000

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

130 : 1, 2, 5, 10, 13, 26, 65, 130

946 : 1, 2, 11, 22, 43, 86, 473, 946

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,130,946,208,220, is 2.

Now, the common factors can be found like this.

470:2x 5x 47

130:2x 5x 13

946:2x 11x 43

208:2x 2x 2x 2x 13

220:2x 2x 5x 11

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 5x 5x 11x 13 = 57200

Therefore, the value for common factors is 57200.

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 = 2644955456000/(2x57200)

LCM = 2644955456000/114400

LCM = 23120240

Thus, we can understand that the LCM of 470,130,946,208,220 is 23120240.

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

• LCM of 437, 529, 628, 204, 178
• LCM of 204, 323, 633, 512, 148
• LCM of 584, 955, 390, 442, 700
• LCM of 493, 291, 193, 552, 802
• LCM of 228, 182, 398, 975, 783

1. What is the LCM of 470, 130, 946, 208, 220?

Answer: LCM of 470, 130, 946, 208, 220 is 23120240.

2. How to calculate the LCM of 470, 130, 946, 208, 220?

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 470, 130, 946, 208, 220.

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}.