Given numbers are 654,624,386,414,830

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

The LCM of 654,624,386,414,830 is 375894164880.

Find LCM of 654,624,386,414,830 with Prime Factorization

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

2 x 3 x 109 x 104 x 193 x 69 x 415 = 375894164880

Therefore, the lowest common multiple of 654,624,386,414,830 is 375894164880.

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.

654 x 624 x 386 x 414 x 830 = 54128759742720

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

386 : 1, 2, 193, 386

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

830 : 1, 2, 5, 10, 83, 166, 415, 830

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,624,386,414,830, is 2.

Now, the common factors can be found like this.

654:2x 3x 109

624:2x 2x 2x 2x 3x 13

386:2x 193

414:2x 3x 3x 23

830:2x 5x 83

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 3 = 72

Therefore, the value for common factors is 72.

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 = 54128759742720/(2x72)

LCM = 54128759742720/144

LCM = 375894164880

Thus, we can understand that the LCM of 654,624,386,414,830 is 375894164880.

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

• LCM of 772, 373, 814, 754, 342
• LCM of 608, 269, 974, 493, 132
• LCM of 808, 802, 814, 880, 785
• LCM of 461, 109, 697, 869, 381
• LCM of 630, 719, 461, 891, 130

1. What is the LCM of 654, 624, 386, 414, 830?

Answer: LCM of 654, 624, 386, 414, 830 is 375894164880.

2. How to calculate the LCM of 654, 624, 386, 414, 830?

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 654, 624, 386, 414, 830.

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}.