Given numbers are 616,107,975,748,582

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

The LCM of 616,107,975,748,582 is 105971665800.

Find LCM of 616,107,975,748,582 with Prime Factorization

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

2 x 2 x 3 x 11 x 14 x 107 x 325 x 17 x 97 = 105971665800

Therefore, the lowest common multiple of 616,107,975,748,582 is 105971665800.

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.

616 x 107 x 975 x 748 x 582 = 27976519771200

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

107 : 1, 107

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,107,975,748,582, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

107:107

975:3x 5x 5x 13

748:2x 2x 11x 17

582:2x 3x 97

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 11 = 264

Therefore, the value for common factors is 264.

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 = 27976519771200/(1x264)

LCM = 27976519771200/264

LCM = 105971665800

Thus, we can understand that the LCM of 616,107,975,748,582 is 105971665800.

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

• LCM of 780, 445, 454, 126, 642
• LCM of 673, 552, 281, 663, 242
• LCM of 629, 525, 664, 218, 601
• LCM of 209, 908, 469, 257, 942
• LCM of 359, 645, 260, 529, 372

1. What is the LCM of 616, 107, 975, 748, 582?

Answer: LCM of 616, 107, 975, 748, 582 is 105971665800.

2. How to calculate the LCM of 616, 107, 975, 748, 582?

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 616, 107, 975, 748, 582.

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}.