Given numbers are 930,576,395,107,414

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

The LCM of 930,576,395,107,414 is 17357728320.

Find LCM of 930,576,395,107,414 with Prime Factorization

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

2 x 3 x 3 x 5 x 31 x 32 x 79 x 107 x 23 = 17357728320

Therefore, the lowest common multiple of 930,576,395,107,414 is 17357728320.

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.

930 x 576 x 395 x 107 x 414 = 9373173292800

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

395 : 1, 5, 79, 395

107 : 1, 107

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,576,395,107,414, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

576:2x 2x 2x 2x 2x 2x 3x 3

395:5x 79

107:107

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 3x 3x 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 9373173292800/(1x540)

LCM = 9373173292800/540

LCM = 17357728320

Thus, we can understand that the LCM of 930,576,395,107,414 is 17357728320.

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

• LCM of 533, 777, 341, 627, 128
• LCM of 264, 220, 720, 223, 332
• LCM of 837, 826, 720, 203, 389
• LCM of 108, 652, 813, 808, 787
• LCM of 666, 172, 592, 189, 890

1. What is the LCM of 930, 576, 395, 107, 414?

Answer: LCM of 930, 576, 395, 107, 414 is 17357728320.

2. How to calculate the LCM of 930, 576, 395, 107, 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 930, 576, 395, 107, 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}.