Given numbers are 814,735,143

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

The LCM of 814,735,143 is 7777770.

Find LCM of 814,735,143 with Prime Factorization

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

11 x 74 x 735 x 13 = 7777770

Therefore, the lowest common multiple of 814,735,143 is 7777770.

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.

814 x 735 x 143 = 85555470

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,735,143, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

735:3x 5x 7x 7

143:11x 13

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

11 = 11

Therefore, the value for common factors is 11.

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 = 85555470/(1x11)

LCM = 85555470/11

LCM = 7777770

Thus, we can understand that the LCM of 814,735,143 is 7777770.

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

• LCM of 392, 862, 105
• LCM of 103, 118, 425
• LCM of 113, 483, 605
• LCM of 753, 117, 316
• LCM of 612, 297, 934

1. What is the LCM of 814, 735, 143?

Answer: LCM of 814, 735, 143 is 7777770.

2. How to calculate the LCM of 814, 735, 143?

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 814, 735, 143.

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}.