Given numbers are 390,182,442,312,634

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

The LCM of 390,182,442,312,634 is 58847880.

Find LCM of 390,182,442,312,634 with Prime Factorization

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

2 x 3 x 13 x 5 x 7 x 17 x 4 x 317 = 58847880

Therefore, the lowest common multiple of 390,182,442,312,634 is 58847880.

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 182 x 442 x 312 x 634 = 6205862033280

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

442 : 1, 2, 13, 17, 26, 34, 221, 442

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

634 : 1, 2, 317, 634

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,182,442,312,634, is 2.

Now, the common factors can be found like this.

390:2x 3x 5x 13

182:2x 7x 13

442:2x 13x 17

312:2x 2x 2x 3x 13

634:2x 317

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 3x 13x 13x 13 = 52728

Therefore, the value for common factors is 52728.

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 = 6205862033280/(2x52728)

LCM = 6205862033280/105456

LCM = 58847880

Thus, we can understand that the LCM of 390,182,442,312,634 is 58847880.

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

• LCM of 984, 666, 902, 925, 307
• LCM of 196, 367, 283, 152, 629
• LCM of 741, 180, 211, 306, 142
• LCM of 953, 484, 754, 195, 404
• LCM of 638, 931, 364, 433, 677

1. What is the LCM of 390, 182, 442, 312, 634?

Answer: LCM of 390, 182, 442, 312, 634 is 58847880.

2. How to calculate the LCM of 390, 182, 442, 312, 634?

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, 182, 442, 312, 634.

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}.