Given numbers are 786,258,220,124,414

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

The LCM of 786,258,220,124,414 is 7952331420.

Find LCM of 786,258,220,124,414 with Prime Factorization

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

2 x 2 x 3 x 131 x 43 x 55 x 31 x 69 = 7952331420

Therefore, the lowest common multiple of 786,258,220,124,414 is 7952331420.

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.

786 x 258 x 220 x 124 x 414 = 2290271448960

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

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

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

124 : 1, 2, 4, 31, 62, 124

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,258,220,124,414, is 2.

Now, the common factors can be found like this.

786:2x 3x 131

258:2x 3x 43

220:2x 2x 5x 11

124:2x 2x 31

414:2x 3x 3x 23

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 3 = 144

Therefore, the value for common factors is 144.

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 = 2290271448960/(2x144)

LCM = 2290271448960/288

LCM = 7952331420

Thus, we can understand that the LCM of 786,258,220,124,414 is 7952331420.

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

• LCM of 665, 264, 768, 468, 478
• LCM of 175, 866, 302, 672, 434
• LCM of 155, 320, 181, 400, 882
• LCM of 386, 462, 313, 570, 947
• LCM of 410, 923, 823, 549, 885

1. What is the LCM of 786, 258, 220, 124, 414?

Answer: LCM of 786, 258, 220, 124, 414 is 7952331420.

2. How to calculate the LCM of 786, 258, 220, 124, 414?

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 786, 258, 220, 124, 414.

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}.