Given numbers are 432,418,677

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

The LCM of 432,418,677 is 61124976.

Find LCM of 432,418,677 with Prime Factorization

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

2 x 216 x 209 x 677 = 61124976

Therefore, the lowest common multiple of 432,418,677 is 61124976.

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.

432 x 418 x 677 = 122249952

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

418 : 1, 2, 11, 19, 22, 38, 209, 418

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,418,677, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

418:2x 11x 19

677:677

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 = 122249952/(1x2)

LCM = 122249952/2

LCM = 61124976

Thus, we can understand that the LCM of 432,418,677 is 61124976.

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

• LCM of 842, 932, 649
• LCM of 825, 511, 142
• LCM of 774, 993, 560
• LCM of 914, 403, 271
• LCM of 654, 424, 401

1. What is the LCM of 432, 418, 677?

Answer: LCM of 432, 418, 677 is 61124976.

2. How to calculate the LCM of 432, 418, 677?

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 432, 418, 677.

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}.