Given numbers are 805,471,972,968,677

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

The LCM of 805,471,972,968,677 is 20126387607480.

Find LCM of 805,471,972,968,677 with Prime Factorization

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

2 x 2 x 3 x 805 x 157 x 81 x 242 x 677 = 20126387607480

Therefore, the lowest common multiple of 805,471,972,968,677 is 20126387607480.

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.

805 x 471 x 972 x 968 x 677 = 241516651289760

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.

805 : 1, 5, 7, 23, 35, 115, 161, 805

471 : 1, 3, 157, 471

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,471,972,968,677, is 1.

Now, the common factors can be found like this.

805:5x 7x 23

471:3x 157

972:2x 2x 3x 3x 3x 3x 3

968:2x 2x 2x 11x 11

677:677

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 3 = 12

Therefore, the value for common factors is 12.

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 = 241516651289760/(1x12)

LCM = 241516651289760/12

LCM = 20126387607480

Thus, we can understand that the LCM of 805,471,972,968,677 is 20126387607480.

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

• LCM of 166, 217, 196, 650, 829
• LCM of 501, 143, 392, 183, 189
• LCM of 982, 489, 631, 819, 674
• LCM of 717, 534, 185, 672, 619
• LCM of 507, 914, 248, 587, 136

1. What is the LCM of 805, 471, 972, 968, 677?

Answer: LCM of 805, 471, 972, 968, 677 is 20126387607480.

2. How to calculate the LCM of 805, 471, 972, 968, 677?

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 805, 471, 972, 968, 677.

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}.