Given numbers are 234,143,458,442,977

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

The LCM of 234,143,458,442,977 is 9790108614.

Find LCM of 234,143,458,442,977 with Prime Factorization

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

2 x 13 x 9 x 11 x 229 x 17 x 977 = 9790108614

Therefore, the lowest common multiple of 234,143,458,442,977 is 9790108614.

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.

234 x 143 x 458 x 442 x 977 = 6618113423064

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

143 : 1, 11, 13, 143

458 : 1, 2, 229, 458

442 : 1, 2, 13, 17, 26, 34, 221, 442

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,143,458,442,977, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

143:11x 13

458:2x 229

442:2x 13x 17

977:977

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 6618113423064/(1x676)

LCM = 6618113423064/676

LCM = 9790108614

Thus, we can understand that the LCM of 234,143,458,442,977 is 9790108614.

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

• LCM of 671, 110, 793, 780, 581
• LCM of 514, 605, 719, 844, 345
• LCM of 221, 695, 989, 785, 769
• LCM of 406, 592, 586, 265, 932
• LCM of 983, 887, 498, 962, 406

1. What is the LCM of 234, 143, 458, 442, 977?

Answer: LCM of 234, 143, 458, 442, 977 is 9790108614.

2. How to calculate the LCM of 234, 143, 458, 442, 977?

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 234, 143, 458, 442, 977.

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}.