Given numbers are 497,169,247,720,812

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

The LCM of 497,169,247,720,812 is 33321702960.

Find LCM of 497,169,247,720,812 with Prime Factorization

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

2 x 2 x 7 x 13 x 71 x 13 x 19 x 180 x 29 = 33321702960

Therefore, the lowest common multiple of 497,169,247,720,812 is 33321702960.

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.

497 x 169 x 247 x 720 x 812 = 12129099877440

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.

497 : 1, 7, 71, 497

169 : 1, 13, 169

247 : 1, 13, 19, 247

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,169,247,720,812, is 1.

Now, the common factors can be found like this.

497:7x 71

169:13x 13

247:13x 19

720:2x 2x 2x 2x 3x 3x 5

812:2x 2x 7x 29

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 7x 13 = 364

Therefore, the value for common factors is 364.

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 = 12129099877440/(1x364)

LCM = 12129099877440/364

LCM = 33321702960

Thus, we can understand that the LCM of 497,169,247,720,812 is 33321702960.

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

• LCM of 700, 773, 711, 364, 460
• LCM of 162, 674, 667, 229, 325
• LCM of 925, 118, 472, 696, 655
• LCM of 236, 881, 469, 708, 691
• LCM of 618, 333, 783, 425, 435

1. What is the LCM of 497, 169, 247, 720, 812?

Answer: LCM of 497, 169, 247, 720, 812 is 33321702960.

2. How to calculate the LCM of 497, 169, 247, 720, 812?

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 497, 169, 247, 720, 812.

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}.