Given numbers are 470,982,614,782

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

The LCM of 470,982,614,782 is 27700938490.

Find LCM of 470,982,614,782 with Prime Factorization

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

2 x 235 x 491 x 307 x 391 = 27700938490

Therefore, the lowest common multiple of 470,982,614,782 is 27700938490.

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.

470 x 982 x 614 x 782 = 221607507920

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

982 : 1, 2, 491, 982

614 : 1, 2, 307, 614

782 : 1, 2, 17, 23, 34, 46, 391, 782

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,982,614,782, is 2.

Now, the common factors can be found like this.

470:2x 5x 47

982:2x 491

614:2x 307

782:2x 17x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 221607507920/(2x4)

LCM = 221607507920/8

LCM = 27700938490

Thus, we can understand that the LCM of 470,982,614,782 is 27700938490.

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

• LCM of 426, 377, 476, 347
• LCM of 990, 434, 920, 913
• LCM of 299, 310, 171, 434
• LCM of 130, 779, 582, 308
• LCM of 904, 892, 612, 373

1. What is the LCM of 470, 982, 614, 782?

Answer: LCM of 470, 982, 614, 782 is 27700938490.

2. How to calculate the LCM of 470, 982, 614, 782?

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 470, 982, 614, 782.

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}.