Given numbers are 677,13,416

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

The LCM of 677,13,416 is 281632.

Find LCM of 677,13,416 with Prime Factorization

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

13 x 677 x 1 x 32 = 281632

Therefore, the lowest common multiple of 677,13,416 is 281632.

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.

677 x 13 x 416 = 3661216

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.

677 : 1, 677

13 : 1, 13

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,13,416, is 1.

Now, the common factors can be found like this.

677:677

13:13

416:2x 2x 2x 2x 2x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 3661216/(1x13)

LCM = 3661216/13

LCM = 281632

Thus, we can understand that the LCM of 677,13,416 is 281632.

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

• LCM of 832, 36, 227
• LCM of 831, 27, 896
• LCM of 147, 98, 146
• LCM of 212, 82, 600
• LCM of 114, 86, 931

1. What is the LCM of 677, 13, 416?

Answer: LCM of 677, 13, 416 is 281632.

2. How to calculate the LCM of 677, 13, 416?

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 677, 13, 416.

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}.