Given numbers are 107,443,321,143,414

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

The LCM of 107,443,321,143,414 is 2806234002.

Find LCM of 107,443,321,143,414 with Prime Factorization

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

3 x 107 x 1 x 443 x 1 x 143 x 138 = 2806234002

Therefore, the lowest common multiple of 107,443,321,143,414 is 2806234002.

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.

107 x 443 x 321 x 143 x 414 = 900801114642

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.

107 : 1, 107

443 : 1, 443

321 : 1, 3, 107, 321

143 : 1, 11, 13, 143

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,443,321,143,414, is 1.

Now, the common factors can be found like this.

107:107

443:443

321:3x 107

143:11x 13

414:2x 3x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 107 = 321

Therefore, the value for common factors is 321.

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 = 900801114642/(1x321)

LCM = 900801114642/321

LCM = 2806234002

Thus, we can understand that the LCM of 107,443,321,143,414 is 2806234002.

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

• LCM of 914, 786, 650, 828, 367
• LCM of 343, 926, 829, 493, 139
• LCM of 410, 407, 953, 697, 482
• LCM of 147, 542, 441, 627, 192
• LCM of 362, 373, 278, 419, 558

1. What is the LCM of 107, 443, 321, 143, 414?

Answer: LCM of 107, 443, 321, 143, 414 is 2806234002.

2. How to calculate the LCM of 107, 443, 321, 143, 414?

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 107, 443, 321, 143, 414.

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}.