Given numbers are 476,458,561,128,260

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

The LCM of 476,458,561,128,260 is 7482034560.

Find LCM of 476,458,561,128,260 with Prime Factorization

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

2 x 2 x 17 x 7 x 229 x 33 x 32 x 65 = 7482034560

Therefore, the lowest common multiple of 476,458,561,128,260 is 7482034560.

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.

476 x 458 x 561 x 128 x 260 = 4070226800640

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

458 : 1, 2, 229, 458

561 : 1, 3, 11, 17, 33, 51, 187, 561

128 : 1, 2, 4, 8, 16, 32, 64, 128

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,458,561,128,260, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

458:2x 229

561:3x 11x 17

128:2x 2x 2x 2x 2x 2x 2

260:2x 2x 5x 13

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 2x 2x 17 = 544

Therefore, the value for common factors is 544.

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 = 4070226800640/(1x544)

LCM = 4070226800640/544

LCM = 7482034560

Thus, we can understand that the LCM of 476,458,561,128,260 is 7482034560.

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

• LCM of 567, 240, 240, 697, 850
• LCM of 693, 835, 161, 464, 711
• LCM of 666, 315, 349, 489, 847
• LCM of 724, 376, 677, 554, 721
• LCM of 617, 746, 792, 870, 477

1. What is the LCM of 476, 458, 561, 128, 260?

Answer: LCM of 476, 458, 561, 128, 260 is 7482034560.

2. How to calculate the LCM of 476, 458, 561, 128, 260?

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 476, 458, 561, 128, 260.

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}.