Given numbers are 498,114,514,537

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

The LCM of 498,114,514,537 is 435280386.

Find LCM of 498,114,514,537 with Prime Factorization

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

2 x 3 x 83 x 19 x 257 x 179 = 435280386

Therefore, the lowest common multiple of 498,114,514,537 is 435280386.

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.

498 x 114 x 514 x 537 = 15670093896

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

114 : 1, 2, 3, 6, 19, 38, 57, 114

514 : 1, 2, 257, 514

537 : 1, 3, 179, 537

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,114,514,537, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

114:2x 3x 19

514:2x 257

537:3x 179

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 15670093896/(1x36)

LCM = 15670093896/36

LCM = 435280386

Thus, we can understand that the LCM of 498,114,514,537 is 435280386.

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

• LCM of 253, 160, 384, 421
• LCM of 398, 418, 254, 715
• LCM of 925, 553, 255, 713
• LCM of 737, 739, 533, 901
• LCM of 145, 338, 943, 209

1. What is the LCM of 498, 114, 514, 537?

Answer: LCM of 498, 114, 514, 537 is 435280386.

2. How to calculate the LCM of 498, 114, 514, 537?

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 498, 114, 514, 537.

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}.