Given numbers are 505,478,458,282

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

The LCM of 505,478,458,282 is 7794241710.

Find LCM of 505,478,458,282 with Prime Factorization

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

2 x 505 x 239 x 229 x 141 = 7794241710

Therefore, the lowest common multiple of 505,478,458,282 is 7794241710.

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.

505 x 478 x 458 x 282 = 31176966840

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.

505 : 1, 5, 101, 505

478 : 1, 2, 239, 478

458 : 1, 2, 229, 458

282 : 1, 2, 3, 6, 47, 94, 141, 282

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,478,458,282, is 1.

Now, the common factors can be found like this.

505:5x 101

478:2x 239

458:2x 229

282:2x 3x 47

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 = 31176966840/(1x4)

LCM = 31176966840/4

LCM = 7794241710

Thus, we can understand that the LCM of 505,478,458,282 is 7794241710.

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

• LCM of 359, 408, 619, 672
• LCM of 677, 646, 425, 495
• LCM of 627, 335, 939, 398
• LCM of 100, 732, 686, 599
• LCM of 325, 742, 651, 383

1. What is the LCM of 505, 478, 458, 282?

Answer: LCM of 505, 478, 458, 282 is 7794241710.

2. How to calculate the LCM of 505, 478, 458, 282?

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 505, 478, 458, 282.

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}.