Given numbers are 445,748,697,968,596

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

The LCM of 445,748,697,968,596 is 44735718280.

Find LCM of 445,748,697,968,596 with Prime Factorization

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

2 x 2 x 11 x 17 x 445 x 1 x 41 x 22 x 149 = 44735718280

Therefore, the lowest common multiple of 445,748,697,968,596 is 44735718280.

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.

445 x 748 x 697 x 968 x 596 = 133849269093760

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.

445 : 1, 5, 89, 445

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

697 : 1, 17, 41, 697

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,748,697,968,596, is 1.

Now, the common factors can be found like this.

445:5x 89

748:2x 2x 11x 17

697:17x 41

968:2x 2x 2x 11x 11

596:2x 2x 149

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 11x 17 = 2992

Therefore, the value for common factors is 2992.

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 = 133849269093760/(1x2992)

LCM = 133849269093760/2992

LCM = 44735718280

Thus, we can understand that the LCM of 445,748,697,968,596 is 44735718280.

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

• LCM of 954, 848, 168, 820, 731
• LCM of 565, 735, 323, 849, 644
• LCM of 244, 175, 771, 322, 933
• LCM of 898, 719, 648, 276, 736
• LCM of 916, 967, 348, 934, 495

1. What is the LCM of 445, 748, 697, 968, 596?

Answer: LCM of 445, 748, 697, 968, 596 is 44735718280.

2. How to calculate the LCM of 445, 748, 697, 968, 596?

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 445, 748, 697, 968, 596.

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}.