Given numbers are 820,509,414,339

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

The LCM of 820,509,414,339 is 9762935580.

Find LCM of 820,509,414,339 with Prime Factorization

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

2 x 3 x 410 x 509 x 69 x 113 = 9762935580

Therefore, the lowest common multiple of 820,509,414,339 is 9762935580.

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.

820 x 509 x 414 x 339 = 58577613480

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

509 : 1, 509

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,509,414,339, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

509:509

414:2x 3x 3x 23

339:3x 113

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 58577613480/(1x6)

LCM = 58577613480/6

LCM = 9762935580

Thus, we can understand that the LCM of 820,509,414,339 is 9762935580.

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

• LCM of 547, 215, 605, 423
• LCM of 572, 754, 820, 383
• LCM of 938, 608, 253, 127
• LCM of 451, 662, 298, 675
• LCM of 914, 196, 169, 969

1. What is the LCM of 820, 509, 414, 339?

Answer: LCM of 820, 509, 414, 339 is 9762935580.

2. How to calculate the LCM of 820, 509, 414, 339?

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 820, 509, 414, 339.

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}.