Given numbers are 531,130,399,213,309

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

The LCM of 531,130,399,213,309 is 67140579870.

Find LCM of 531,130,399,213,309 with Prime Factorization

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

3 x 177 x 130 x 133 x 71 x 103 = 67140579870

Therefore, the lowest common multiple of 531,130,399,213,309 is 67140579870.

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 130 x 399 x 213 x 309 = 1812795656490

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

130 : 1, 2, 5, 10, 13, 26, 65, 130

399 : 1, 3, 7, 19, 21, 57, 133, 399

213 : 1, 3, 71, 213

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,130,399,213,309, is 1.

Now, the common factors can be found like this.

531:3x 3x 59

130:2x 5x 13

399:3x 7x 19

213:3x 71

309:3x 103

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 1812795656490/(1x27)

LCM = 1812795656490/27

LCM = 67140579870

Thus, we can understand that the LCM of 531,130,399,213,309 is 67140579870.

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

• LCM of 786, 610, 214, 971, 338
• LCM of 325, 682, 118, 918, 944
• LCM of 178, 181, 692, 399, 743
• LCM of 782, 429, 123, 528, 952
• LCM of 572, 629, 474, 672, 575

1. What is the LCM of 531, 130, 399, 213, 309?

Answer: LCM of 531, 130, 399, 213, 309 is 67140579870.

2. How to calculate the LCM of 531, 130, 399, 213, 309?

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, 130, 399, 213, 309.

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}.