Given numbers are 413,35,478

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

The LCM of 413,35,478 is 987070.

Find LCM of 413,35,478 with Prime Factorization

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

7 x 59 x 5 x 478 = 987070

Therefore, the lowest common multiple of 413,35,478 is 987070.

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.

413 x 35 x 478 = 6909490

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.

413 : 1, 7, 59, 413

35 : 1, 5, 7, 35

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,35,478, is 1.

Now, the common factors can be found like this.

413:7x 59

35:5x 7

478:2x 239

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

7 = 7

Therefore, the value for common factors is 7.

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 = 6909490/(1x7)

LCM = 6909490/7

LCM = 987070

Thus, we can understand that the LCM of 413,35,478 is 987070.

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

• LCM of 271, 14, 693
• LCM of 449, 16, 843
• LCM of 379, 37, 822
• LCM of 174, 63, 795
• LCM of 544, 55, 349

1. What is the LCM of 413, 35, 478?

Answer: LCM of 413, 35, 478 is 987070.

2. How to calculate the LCM of 413, 35, 478?

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 413, 35, 478.

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}.