Given numbers are 218,742,478,488,646

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

The LCM of 218,742,478,488,646 is 1523423507704.

Find LCM of 218,742,478,488,646 with Prime Factorization

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

2 x 109 x 371 x 239 x 244 x 323 = 1523423507704

Therefore, the lowest common multiple of 218,742,478,488,646 is 1523423507704.

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.

218 x 742 x 478 x 488 x 646 = 24374776123264

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.

218 : 1, 2, 109, 218

742 : 1, 2, 7, 14, 53, 106, 371, 742

478 : 1, 2, 239, 478

488 : 1, 2, 4, 8, 61, 122, 244, 488

646 : 1, 2, 17, 19, 34, 38, 323, 646

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,742,478,488,646, is 2.

Now, the common factors can be found like this.

218:2x 109

742:2x 7x 53

478:2x 239

488:2x 2x 2x 61

646:2x 17x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 24374776123264/(2x8)

LCM = 24374776123264/16

LCM = 1523423507704

Thus, we can understand that the LCM of 218,742,478,488,646 is 1523423507704.

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

• LCM of 306, 820, 956, 608, 994
• LCM of 719, 925, 749, 133, 102
• LCM of 128, 181, 124, 499, 800
• LCM of 122, 114, 815, 859, 657
• LCM of 818, 519, 627, 702, 878

1. What is the LCM of 218, 742, 478, 488, 646?

Answer: LCM of 218, 742, 478, 488, 646 is 1523423507704.

2. How to calculate the LCM of 218, 742, 478, 488, 646?

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 218, 742, 478, 488, 646.

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}.