Given numbers are 504,343,532,398,506

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

The LCM of 504,343,532,398,506 is 23624020728.

Find LCM of 504,343,532,398,506 with Prime Factorization

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

2 x 2 x 7 x 18 x 49 x 19 x 199 x 253 = 23624020728

Therefore, the lowest common multiple of 504,343,532,398,506 is 23624020728.

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.

504 x 343 x 532 x 398 x 506 = 18521232250752

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

343 : 1, 7, 49, 343

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

398 : 1, 2, 199, 398

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,343,532,398,506, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

343:7x 7x 7

532:2x 2x 7x 19

398:2x 199

506:2x 11x 23

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 2x 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 18521232250752/(1x784)

LCM = 18521232250752/784

LCM = 23624020728

Thus, we can understand that the LCM of 504,343,532,398,506 is 23624020728.

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

• LCM of 401, 241, 843, 327, 740
• LCM of 455, 196, 162, 283, 986
• LCM of 156, 476, 812, 691, 118
• LCM of 758, 561, 933, 426, 160
• LCM of 380, 205, 636, 208, 755

1. What is the LCM of 504, 343, 532, 398, 506?

Answer: LCM of 504, 343, 532, 398, 506 is 23624020728.

2. How to calculate the LCM of 504, 343, 532, 398, 506?

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 504, 343, 532, 398, 506.

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}.