Given numbers are 930,986,406,356,424

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

The LCM of 930,986,406,356,424 is 60555525240.

Find LCM of 930,986,406,356,424 with Prime Factorization

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

2 x 2 x 29 x 465 x 17 x 7 x 89 x 106 = 60555525240

Therefore, the lowest common multiple of 930,986,406,356,424 is 60555525240.

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 986 x 406 x 356 x 424 = 56195527422720

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

406 : 1, 2, 7, 14, 29, 58, 203, 406

356 : 1, 2, 4, 89, 178, 356

424 : 1, 2, 4, 8, 53, 106, 212, 424

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,986,406,356,424, is 2.

Now, the common factors can be found like this.

930:2x 3x 5x 31

986:2x 17x 29

406:2x 7x 29

356:2x 2x 89

424:2x 2x 2x 53

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 29 = 464

Therefore, the value for common factors is 464.

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 = 56195527422720/(2x464)

LCM = 56195527422720/928

LCM = 60555525240

Thus, we can understand that the LCM of 930,986,406,356,424 is 60555525240.

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

• LCM of 173, 290, 142, 325, 774
• LCM of 881, 624, 465, 992, 181
• LCM of 523, 877, 499, 951, 699
• LCM of 549, 466, 941, 475, 132
• LCM of 432, 348, 406, 883, 614

1. What is the LCM of 930, 986, 406, 356, 424?

Answer: LCM of 930, 986, 406, 356, 424 is 60555525240.

2. How to calculate the LCM of 930, 986, 406, 356, 424?

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, 986, 406, 356, 424.

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}.