Given numbers are 392,650,461,992

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

The LCM of 392,650,461,992 is 7282693600.

Find LCM of 392,650,461,992 with Prime Factorization

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

2 x 2 x 2 x 49 x 325 x 461 x 124 = 7282693600

Therefore, the lowest common multiple of 392,650,461,992 is 7282693600.

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.

392 x 650 x 461 x 992 = 116523097600

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

461 : 1, 461

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,650,461,992, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

650:2x 5x 5x 13

461:461

992:2x 2x 2x 2x 2x 31

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 2 = 16

Therefore, the value for common factors is 16.

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 = 116523097600/(1x16)

LCM = 116523097600/16

LCM = 7282693600

Thus, we can understand that the LCM of 392,650,461,992 is 7282693600.

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

• LCM of 348, 533, 823, 477
• LCM of 742, 243, 932, 753
• LCM of 898, 665, 991, 875
• LCM of 966, 514, 680, 250
• LCM of 233, 622, 120, 386

1. What is the LCM of 392, 650, 461, 992?

Answer: LCM of 392, 650, 461, 992 is 7282693600.

2. How to calculate the LCM of 392, 650, 461, 992?

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 392, 650, 461, 992.

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}.