Given numbers are 209,407,697,710,514

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

The LCM of 209,407,697,710,514 is 983495235470.

Find LCM of 209,407,697,710,514 with Prime Factorization

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

2 x 11 x 19 x 37 x 697 x 355 x 257 = 983495235470

Therefore, the lowest common multiple of 209,407,697,710,514 is 983495235470.

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.

209 x 407 x 697 x 710 x 514 = 21636895180340

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.

209 : 1, 11, 19, 209

407 : 1, 11, 37, 407

697 : 1, 17, 41, 697

710 : 1, 2, 5, 10, 71, 142, 355, 710

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,407,697,710,514, is 1.

Now, the common factors can be found like this.

209:11x 19

407:11x 37

697:17x 41

710:2x 5x 71

514:2x 257

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 21636895180340/(1x22)

LCM = 21636895180340/22

LCM = 983495235470

Thus, we can understand that the LCM of 209,407,697,710,514 is 983495235470.

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

• LCM of 681, 401, 798, 682, 662
• LCM of 831, 950, 355, 183, 432
• LCM of 996, 568, 522, 150, 152
• LCM of 146, 753, 655, 298, 755
• LCM of 443, 585, 798, 210, 989

1. What is the LCM of 209, 407, 697, 710, 514?

Answer: LCM of 209, 407, 697, 710, 514 is 983495235470.

2. How to calculate the LCM of 209, 407, 697, 710, 514?

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 209, 407, 697, 710, 514.

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}.