Given numbers are 565,249,814,514

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

The LCM of 565,249,814,514 is 29431020630.

Find LCM of 565,249,814,514 with Prime Factorization

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

2 x 565 x 249 x 407 x 257 = 29431020630

Therefore, the lowest common multiple of 565,249,814,514 is 29431020630.

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.

565 x 249 x 814 x 514 = 58862041260

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.

565 : 1, 5, 113, 565

249 : 1, 3, 83, 249

814 : 1, 2, 11, 22, 37, 74, 407, 814

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,249,814,514, is 1.

Now, the common factors can be found like this.

565:5x 113

249:3x 83

814:2x 11x 37

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.

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 = 58862041260/(1x2)

LCM = 58862041260/2

LCM = 29431020630

Thus, we can understand that the LCM of 565,249,814,514 is 29431020630.

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

• LCM of 516, 259, 175, 387
• LCM of 339, 992, 133, 214
• LCM of 329, 878, 786, 160
• LCM of 802, 348, 981, 616
• LCM of 413, 259, 865, 990

1. What is the LCM of 565, 249, 814, 514?

Answer: LCM of 565, 249, 814, 514 is 29431020630.

2. How to calculate the LCM of 565, 249, 814, 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 565, 249, 814, 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}.