Given numbers are 514,279,775,217

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

The LCM of 514,279,775,217 is 25096050.

Find LCM of 514,279,775,217 with Prime Factorization

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

31 x 514 x 9 x 25 x 7 = 25096050

Therefore, the lowest common multiple of 514,279,775,217 is 25096050.

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.

514 x 279 x 775 x 217 = 24117304050

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.

514 : 1, 2, 257, 514

279 : 1, 3, 9, 31, 93, 279

775 : 1, 5, 25, 31, 155, 775

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,279,775,217, is 1.

Now, the common factors can be found like this.

514:2x 257

279:3x 3x 31

775:5x 5x 31

217:7x 31

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

31x 31 = 961

Therefore, the value for common factors is 961.

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 = 24117304050/(1x961)

LCM = 24117304050/961

LCM = 25096050

Thus, we can understand that the LCM of 514,279,775,217 is 25096050.

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

• LCM of 493, 679, 268, 430
• LCM of 426, 645, 972, 219
• LCM of 241, 461, 265, 126
• LCM of 578, 708, 702, 710
• LCM of 377, 671, 609, 648

1. What is the LCM of 514, 279, 775, 217?

Answer: LCM of 514, 279, 775, 217 is 25096050.

2. How to calculate the LCM of 514, 279, 775, 217?

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 514, 279, 775, 217.

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}.