Given numbers are 291,410,460,258,220

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

The LCM of 291,410,460,258,220 is 2595946980.

Find LCM of 291,410,460,258,220 with Prime Factorization

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

2 x 2 x 3 x 5 x 97 x 41 x 23 x 43 x 11 = 2595946980

Therefore, the lowest common multiple of 291,410,460,258,220 is 2595946980.

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.

291 x 410 x 460 x 258 x 220 = 3115136376000

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.

291 : 1, 3, 97, 291

410 : 1, 2, 5, 10, 41, 82, 205, 410

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

258 : 1, 2, 3, 6, 43, 86, 129, 258

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,410,460,258,220, is 1.

Now, the common factors can be found like this.

291:3x 97

410:2x 5x 41

460:2x 2x 5x 23

258:2x 3x 43

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 3x 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 3115136376000/(1x1200)

LCM = 3115136376000/1200

LCM = 2595946980

Thus, we can understand that the LCM of 291,410,460,258,220 is 2595946980.

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

• LCM of 381, 502, 733, 759, 264
• LCM of 716, 961, 589, 567, 610
• LCM of 731, 753, 200, 437, 181
• LCM of 592, 539, 267, 256, 803
• LCM of 140, 436, 108, 415, 776

1. What is the LCM of 291, 410, 460, 258, 220?

Answer: LCM of 291, 410, 460, 258, 220 is 2595946980.

2. How to calculate the LCM of 291, 410, 460, 258, 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 291, 410, 460, 258, 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}.