Given numbers are 514,403,474,748,172

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

The LCM of 514,403,474,748,172 is 789508061628.

Find LCM of 514,403,474,748,172 with Prime Factorization

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

2 x 2 x 257 x 403 x 237 x 187 x 43 = 789508061628

Therefore, the lowest common multiple of 514,403,474,748,172 is 789508061628.

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 403 x 474 x 748 x 172 = 12632128986048

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

403 : 1, 13, 31, 403

474 : 1, 2, 3, 6, 79, 158, 237, 474

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

172 : 1, 2, 4, 43, 86, 172

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,403,474,748,172, is 1.

Now, the common factors can be found like this.

514:2x 257

403:13x 31

474:2x 3x 79

748:2x 2x 11x 17

172:2x 2x 43

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 2 = 16

Therefore, the value for common factors is 16.

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 = 12632128986048/(1x16)

LCM = 12632128986048/16

LCM = 789508061628

Thus, we can understand that the LCM of 514,403,474,748,172 is 789508061628.

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

• LCM of 645, 902, 451, 533, 390
• LCM of 733, 625, 251, 241, 550
• LCM of 474, 123, 393, 656, 771
• LCM of 854, 733, 915, 343, 311
• LCM of 966, 940, 782, 197, 212

1. What is the LCM of 514, 403, 474, 748, 172?

Answer: LCM of 514, 403, 474, 748, 172 is 789508061628.

2. How to calculate the LCM of 514, 403, 474, 748, 172?

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, 403, 474, 748, 172.

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}.