Given numbers are 390,511,124,228,258

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

The LCM of 390,511,124,228,258 is 10094835660.

Find LCM of 390,511,124,228,258 with Prime Factorization

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

2 x 2 x 3 x 65 x 511 x 31 x 19 x 43 = 10094835660

Therefore, the lowest common multiple of 390,511,124,228,258 is 10094835660.

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.

390 x 511 x 124 x 228 x 258 = 1453656335040

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

511 : 1, 7, 73, 511

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,511,124,228,258, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

511:7x 73

124:2x 2x 31

228:2x 2x 3x 19

258:2x 3x 43

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 = 1453656335040/(1x144)

LCM = 1453656335040/144

LCM = 10094835660

Thus, we can understand that the LCM of 390,511,124,228,258 is 10094835660.

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

• LCM of 581, 851, 947, 206, 210
• LCM of 171, 409, 336, 483, 525
• LCM of 492, 274, 531, 370, 474
• LCM of 902, 945, 462, 287, 713
• LCM of 594, 227, 269, 952, 317

1. What is the LCM of 390, 511, 124, 228, 258?

Answer: LCM of 390, 511, 124, 228, 258 is 10094835660.

2. How to calculate the LCM of 390, 511, 124, 228, 258?

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 390, 511, 124, 228, 258.

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}.