Given numbers are 814,535,204

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

The LCM of 814,535,204 is 44419980.

Find LCM of 814,535,204 with Prime Factorization

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

2 x 407 x 535 x 102 = 44419980

Therefore, the lowest common multiple of 814,535,204 is 44419980.

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 535 x 204 = 88839960

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

535 : 1, 5, 107, 535

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,535,204, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

535:5x 107

204:2x 2x 3x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 88839960/(1x2)

LCM = 88839960/2

LCM = 44419980

Thus, we can understand that the LCM of 814,535,204 is 44419980.

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

• LCM of 620, 949, 739
• LCM of 705, 882, 342
• LCM of 651, 901, 981
• LCM of 291, 528, 382
• LCM of 474, 164, 723

1. What is the LCM of 814, 535, 204?

Answer: LCM of 814, 535, 204 is 44419980.

2. How to calculate the LCM of 814, 535, 204?

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, 535, 204.

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}.