Given numbers are 709,196,765,214,409

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

The LCM of 709,196,765,214,409 is 4652333371980.

Find LCM of 709,196,765,214,409 with Prime Factorization

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

2 x 709 x 98 x 765 x 107 x 409 = 4652333371980

Therefore, the lowest common multiple of 709,196,765,214,409 is 4652333371980.

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 196 x 765 x 214 x 409 = 9304666743960

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

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

214 : 1, 2, 107, 214

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,196,765,214,409, is 1.

Now, the common factors can be found like this.

709:709

196:2x 2x 7x 7

765:3x 3x 5x 17

214:2x 107

409:409

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

2 = 2

Therefore, the value for common factors is 2.

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 = 9304666743960/(1x2)

LCM = 9304666743960/2

LCM = 4652333371980

Thus, we can understand that the LCM of 709,196,765,214,409 is 4652333371980.

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

• LCM of 646, 956, 513, 611, 972
• LCM of 527, 102, 313, 505, 180
• LCM of 601, 379, 855, 387, 705
• LCM of 394, 272, 243, 509, 445
• LCM of 622, 126, 925, 743, 856

1. What is the LCM of 709, 196, 765, 214, 409?

Answer: LCM of 709, 196, 765, 214, 409 is 4652333371980.

2. How to calculate the LCM of 709, 196, 765, 214, 409?

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, 196, 765, 214, 409.

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}.