Given numbers are 497,278,578,509

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

The LCM of 497,278,578,509 is 20324356766.

Find LCM of 497,278,578,509 with Prime Factorization

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

2 x 497 x 139 x 289 x 509 = 20324356766

Therefore, the lowest common multiple of 497,278,578,509 is 20324356766.

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 278 x 578 x 509 = 40648713532

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

278 : 1, 2, 139, 278

578 : 1, 2, 17, 34, 289, 578

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,278,578,509, is 1.

Now, the common factors can be found like this.

497:7x 71

278:2x 139

578:2x 17x 17

509:509

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 = 40648713532/(1x2)

LCM = 40648713532/2

LCM = 20324356766

Thus, we can understand that the LCM of 497,278,578,509 is 20324356766.

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

• LCM of 753, 134, 991, 422
• LCM of 926, 941, 907, 234
• LCM of 993, 540, 946, 768
• LCM of 472, 992, 709, 640
• LCM of 466, 825, 417, 697

1. What is the LCM of 497, 278, 578, 509?

Answer: LCM of 497, 278, 578, 509 is 20324356766.

2. How to calculate the LCM of 497, 278, 578, 509?

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, 278, 578, 509.

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}.