Given numbers are 339,720,646,190,309

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

The LCM of 339,720,646,190,309 is 2706765840.

Find LCM of 339,720,646,190,309 with Prime Factorization

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

2 x 3 x 5 x 19 x 113 x 24 x 17 x 1 x 103 = 2706765840

Therefore, the lowest common multiple of 339,720,646,190,309 is 2706765840.

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.

339 x 720 x 646 x 190 x 309 = 9257139172800

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.

339 : 1, 3, 113, 339

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

646 : 1, 2, 17, 19, 34, 38, 323, 646

190 : 1, 2, 5, 10, 19, 38, 95, 190

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,720,646,190,309, is 1.

Now, the common factors can be found like this.

339:3x 113

720:2x 2x 2x 2x 3x 3x 5

646:2x 17x 19

190:2x 5x 19

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.

2x 2x 3x 3x 5x 19 = 3420

Therefore, the value for common factors is 3420.

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 = 9257139172800/(1x3420)

LCM = 9257139172800/3420

LCM = 2706765840

Thus, we can understand that the LCM of 339,720,646,190,309 is 2706765840.

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

• LCM of 795, 871, 905, 333, 450
• LCM of 150, 363, 464, 666, 257
• LCM of 157, 897, 736, 500, 158
• LCM of 410, 572, 676, 484, 473
• LCM of 241, 711, 416, 356, 217

1. What is the LCM of 339, 720, 646, 190, 309?

Answer: LCM of 339, 720, 646, 190, 309 is 2706765840.

2. How to calculate the LCM of 339, 720, 646, 190, 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 339, 720, 646, 190, 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}.