Given numbers are 359,40,814

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

The LCM of 359,40,814 is 5844520.

Find LCM of 359,40,814 with Prime Factorization

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

2 x 359 x 20 x 407 = 5844520

Therefore, the lowest common multiple of 359,40,814 is 5844520.

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.

359 x 40 x 814 = 11689040

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.

359 : 1, 359

40 : 1, 2, 4, 5, 8, 10, 20, 40

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,40,814, is 1.

Now, the common factors can be found like this.

359:359

40:2x 2x 2x 5

814:2x 11x 37

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 = 11689040/(1x2)

LCM = 11689040/2

LCM = 5844520

Thus, we can understand that the LCM of 359,40,814 is 5844520.

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

• LCM of 463, 37, 626
• LCM of 308, 57, 366
• LCM of 994, 65, 285
• LCM of 957, 87, 504
• LCM of 382, 19, 715

1. What is the LCM of 359, 40, 814?

Answer: LCM of 359, 40, 814 is 5844520.

2. How to calculate the LCM of 359, 40, 814?

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 359, 40, 814.

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}.