Given numbers are 359,414,380

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

The LCM of 359,414,380 is 28238940.

Find LCM of 359,414,380 with Prime Factorization

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

2 x 359 x 207 x 190 = 28238940

Therefore, the lowest common multiple of 359,414,380 is 28238940.

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 414 x 380 = 56477880

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

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,414,380, is 1.

Now, the common factors can be found like this.

359:359

414:2x 3x 3x 23

380:2x 2x 5x 19

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 = 56477880/(1x2)

LCM = 56477880/2

LCM = 28238940

Thus, we can understand that the LCM of 359,414,380 is 28238940.

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

• LCM of 320, 302, 247
• LCM of 700, 263, 164
• LCM of 580, 581, 705
• LCM of 319, 649, 654
• LCM of 955, 868, 212

1. What is the LCM of 359, 414, 380?

Answer: LCM of 359, 414, 380 is 28238940.

2. How to calculate the LCM of 359, 414, 380?

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, 414, 380.

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}.