Given numbers are 709,390,409,620,490

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

The LCM of 709,390,409,620,490 is 343575288420.

Find LCM of 709,390,409,620,490 with Prime Factorization

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

2 x 5 x 709 x 39 x 409 x 62 x 49 = 343575288420

Therefore, the lowest common multiple of 709,390,409,620,490 is 343575288420.

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.

709 x 390 x 409 x 620 x 490 = 34357528842000

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.

709 : 1, 709

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

409 : 1, 409

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,390,409,620,490, is 1.

Now, the common factors can be found like this.

709:709

390:2x 3x 5x 13

409:409

620:2x 2x 5x 31

490:2x 5x 7x 7

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 34357528842000/(1x100)

LCM = 34357528842000/100

LCM = 343575288420

Thus, we can understand that the LCM of 709,390,409,620,490 is 343575288420.

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

• LCM of 116, 610, 638, 268, 205
• LCM of 589, 978, 247, 267, 529
• LCM of 449, 566, 112, 641, 197
• LCM of 757, 697, 647, 760, 285
• LCM of 700, 472, 401, 317, 781

1. What is the LCM of 709, 390, 409, 620, 490?

Answer: LCM of 709, 390, 409, 620, 490 is 343575288420.

2. How to calculate the LCM of 709, 390, 409, 620, 490?

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 709, 390, 409, 620, 490.

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}.