Given numbers are 514,493,969,437

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

The LCM of 514,493,969,437 is 332210022.

Find LCM of 514,493,969,437 with Prime Factorization

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

17 x 19 x 514 x 29 x 3 x 23 = 332210022

Therefore, the lowest common multiple of 514,493,969,437 is 332210022.

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 493 x 969 x 437 = 107303837106

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

493 : 1, 17, 29, 493

969 : 1, 3, 17, 19, 51, 57, 323, 969

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,493,969,437, is 1.

Now, the common factors can be found like this.

514:2x 257

493:17x 29

969:3x 17x 19

437:19x 23

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

17x 19 = 323

Therefore, the value for common factors is 323.

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 = 107303837106/(1x323)

LCM = 107303837106/323

LCM = 332210022

Thus, we can understand that the LCM of 514,493,969,437 is 332210022.

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

• LCM of 149, 116, 205, 848
• LCM of 345, 308, 881, 500
• LCM of 651, 997, 164, 249
• LCM of 322, 947, 416, 257
• LCM of 596, 730, 118, 252

1. What is the LCM of 514, 493, 969, 437?

Answer: LCM of 514, 493, 969, 437 is 332210022.

2. How to calculate the LCM of 514, 493, 969, 437?

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, 493, 969, 437.

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}.