Given numbers are 489,461,528,906,980

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

The LCM of 489,461,528,906,980 is 1467795270480.

Find LCM of 489,461,528,906,980 with Prime Factorization

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

2 x 2 x 3 x 163 x 461 x 44 x 151 x 245 = 1467795270480

Therefore, the lowest common multiple of 489,461,528,906,980 is 1467795270480.

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.

489 x 461 x 528 x 906 x 980 = 105681259474560

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.

489 : 1, 3, 163, 489

461 : 1, 461

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

906 : 1, 2, 3, 6, 151, 302, 453, 906

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,461,528,906,980, is 1.

Now, the common factors can be found like this.

489:3x 163

461:461

528:2x 2x 2x 2x 3x 11

906:2x 3x 151

980:2x 2x 5x 7x 7

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 3 = 72

Therefore, the value for common factors is 72.

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 = 105681259474560/(1x72)

LCM = 105681259474560/72

LCM = 1467795270480

Thus, we can understand that the LCM of 489,461,528,906,980 is 1467795270480.

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

• LCM of 114, 403, 239, 576, 277
• LCM of 979, 100, 836, 681, 943
• LCM of 313, 187, 121, 168, 300
• LCM of 249, 800, 195, 125, 938
• LCM of 766, 801, 242, 384, 966

1. What is the LCM of 489, 461, 528, 906, 980?

Answer: LCM of 489, 461, 528, 906, 980 is 1467795270480.

2. How to calculate the LCM of 489, 461, 528, 906, 980?

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 489, 461, 528, 906, 980.

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}.