Given numbers are 849,676,174,968,972

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

The LCM of 849,676,174,968,972 is 326251689192.

Find LCM of 849,676,174,968,972 with Prime Factorization

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

2 x 2 x 3 x 283 x 169 x 29 x 242 x 81 = 326251689192

Therefore, the lowest common multiple of 849,676,174,968,972 is 326251689192.

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.

849 x 676 x 174 x 968 x 972 = 93960486487296

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.

849 : 1, 3, 283, 849

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

174 : 1, 2, 3, 6, 29, 58, 87, 174

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,676,174,968,972, is 1.

Now, the common factors can be found like this.

849:3x 283

676:2x 2x 13x 13

174:2x 3x 29

968:2x 2x 2x 11x 11

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

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 93960486487296/(1x288)

LCM = 93960486487296/288

LCM = 326251689192

Thus, we can understand that the LCM of 849,676,174,968,972 is 326251689192.

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

• LCM of 782, 108, 723, 223, 501
• LCM of 114, 818, 108, 116, 109
• LCM of 872, 846, 415, 500, 558
• LCM of 905, 758, 723, 911, 718
• LCM of 576, 582, 369, 754, 550

1. What is the LCM of 849, 676, 174, 968, 972?

Answer: LCM of 849, 676, 174, 968, 972 is 326251689192.

2. How to calculate the LCM of 849, 676, 174, 968, 972?

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 849, 676, 174, 968, 972.

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}.