Given numbers are 531,493,408,677

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

The LCM of 531,493,408,677 is 1417816728.

Find LCM of 531,493,408,677 with Prime Factorization

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

3 x 17 x 177 x 29 x 8 x 677 = 1417816728

Therefore, the lowest common multiple of 531,493,408,677 is 1417816728.

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.

531 x 493 x 408 x 677 = 72308653128

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.

531 : 1, 3, 9, 59, 177, 531

493 : 1, 17, 29, 493

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,493,408,677, is 1.

Now, the common factors can be found like this.

531:3x 3x 59

493:17x 29

408:2x 2x 2x 3x 17

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.

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 72308653128/(1x51)

LCM = 72308653128/51

LCM = 1417816728

Thus, we can understand that the LCM of 531,493,408,677 is 1417816728.

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

• LCM of 799, 440, 392, 224
• LCM of 737, 773, 524, 256
• LCM of 573, 518, 952, 795
• LCM of 492, 674, 449, 208
• LCM of 881, 146, 976, 300

1. What is the LCM of 531, 493, 408, 677?

Answer: LCM of 531, 493, 408, 677 is 1417816728.

2. How to calculate the LCM of 531, 493, 408, 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 531, 493, 408, 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}.