Given numbers are 514,174,403,409

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

The LCM of 514,174,403,409 is 7370733786.

Find LCM of 514,174,403,409 with Prime Factorization

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

2 x 257 x 87 x 403 x 409 = 7370733786

Therefore, the lowest common multiple of 514,174,403,409 is 7370733786.

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 174 x 403 x 409 = 14741467572

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

174 : 1, 2, 3, 6, 29, 58, 87, 174

403 : 1, 13, 31, 403

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,174,403,409, is 1.

Now, the common factors can be found like this.

514:2x 257

174:2x 3x 29

403:13x 31

409:409

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 = 14741467572/(1x2)

LCM = 14741467572/2

LCM = 7370733786

Thus, we can understand that the LCM of 514,174,403,409 is 7370733786.

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

• LCM of 357, 275, 176, 703
• LCM of 609, 262, 291, 284
• LCM of 680, 642, 371, 461
• LCM of 476, 892, 313, 476
• LCM of 910, 326, 573, 686

1. What is the LCM of 514, 174, 403, 409?

Answer: LCM of 514, 174, 403, 409 is 7370733786.

2. How to calculate the LCM of 514, 174, 403, 409?

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, 174, 403, 409.

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}.