Given numbers are 459,370,990,968,618

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

The LCM of 459,370,990,968,618 is 8466365160.

Find LCM of 459,370,990,968,618 with Prime Factorization

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

2 x 3 x 3 x 5 x 11 x 51 x 37 x 1 x 44 x 103 = 8466365160

Therefore, the lowest common multiple of 459,370,990,968,618 is 8466365160.

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.

459 x 370 x 990 x 968 x 618 = 100580418100800

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

370 : 1, 2, 5, 10, 37, 74, 185, 370

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,370,990,968,618, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

370:2x 5x 37

990:2x 3x 3x 5x 11

968:2x 2x 2x 11x 11

618:2x 3x 103

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 3x 3x 5x 11 = 11880

Therefore, the value for common factors is 11880.

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 = 100580418100800/(1x11880)

LCM = 100580418100800/11880

LCM = 8466365160

Thus, we can understand that the LCM of 459,370,990,968,618 is 8466365160.

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

• LCM of 597, 396, 964, 214, 642
• LCM of 461, 372, 387, 671, 313
• LCM of 391, 412, 394, 627, 874
• LCM of 327, 867, 815, 347, 943
• LCM of 810, 899, 273, 369, 341

1. What is the LCM of 459, 370, 990, 968, 618?

Answer: LCM of 459, 370, 990, 968, 618 is 8466365160.

2. How to calculate the LCM of 459, 370, 990, 968, 618?

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 459, 370, 990, 968, 618.

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}.