Given numbers are 514,812,702,360,418

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

The LCM of 514,812,702,360,418 is 153088495560.

Find LCM of 514,812,702,360,418 with Prime Factorization

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

2 x 2 x 3 x 3 x 257 x 203 x 39 x 10 x 209 = 153088495560

Therefore, the lowest common multiple of 514,812,702,360,418 is 153088495560.

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 812 x 702 x 360 x 418 = 44089486721280

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

418 : 1, 2, 11, 19, 22, 38, 209, 418

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,812,702,360,418, is 2.

Now, the common factors can be found like this.

514:2x 257

812:2x 2x 7x 29

702:2x 3x 3x 3x 13

360:2x 2x 2x 3x 3x 5

418:2x 11x 19

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 44089486721280/(2x144)

LCM = 44089486721280/288

LCM = 153088495560

Thus, we can understand that the LCM of 514,812,702,360,418 is 153088495560.

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

• LCM of 450, 557, 928, 746, 244
• LCM of 879, 277, 593, 838, 899
• LCM of 978, 496, 287, 401, 647
• LCM of 941, 309, 970, 270, 351
• LCM of 925, 874, 676, 738, 780

1. What is the LCM of 514, 812, 702, 360, 418?

Answer: LCM of 514, 812, 702, 360, 418 is 153088495560.

2. How to calculate the LCM of 514, 812, 702, 360, 418?

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, 812, 702, 360, 418.

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}.