Given numbers are 584,101,876,416

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

The LCM of 584,101,876,416 is 9201504.

Find LCM of 584,101,876,416 with Prime Factorization

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

2 x 2 x 2 x 73 x 1 x 101 x 3 x 52 = 9201504

Therefore, the lowest common multiple of 584,101,876,416 is 9201504.

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.

584 x 101 x 876 x 416 = 21494713344

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

101 : 1, 101

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,101,876,416, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

101:101

876:2x 2x 3x 73

416:2x 2x 2x 2x 2x 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 73 = 2336

Therefore, the value for common factors is 2336.

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 = 21494713344/(1x2336)

LCM = 21494713344/2336

LCM = 9201504

Thus, we can understand that the LCM of 584,101,876,416 is 9201504.

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

• LCM of 875, 826, 788, 231
• LCM of 715, 779, 741, 328
• LCM of 586, 200, 164, 623
• LCM of 284, 688, 715, 493
• LCM of 877, 222, 935, 981

1. What is the LCM of 584, 101, 876, 416?

Answer: LCM of 584, 101, 876, 416 is 9201504.

2. How to calculate the LCM of 584, 101, 876, 416?

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 584, 101, 876, 416.

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}.