Given numbers are 497,421,646,260

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

The LCM of 497,421,646,260 is 17571723260.

Find LCM of 497,421,646,260 with Prime Factorization

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

2 x 497 x 421 x 323 x 130 = 17571723260

Therefore, the lowest common multiple of 497,421,646,260 is 17571723260.

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 421 x 646 x 260 = 35143446520

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

421 : 1, 421

646 : 1, 2, 17, 19, 34, 38, 323, 646

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,421,646,260, is 1.

Now, the common factors can be found like this.

497:7x 71

421:421

646:2x 17x 19

260:2x 2x 5x 13

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 = 35143446520/(1x2)

LCM = 35143446520/2

LCM = 17571723260

Thus, we can understand that the LCM of 497,421,646,260 is 17571723260.

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

• LCM of 537, 630, 735, 232
• LCM of 162, 242, 416, 187
• LCM of 509, 741, 520, 804
• LCM of 933, 444, 783, 250
• LCM of 352, 728, 326, 739

1. What is the LCM of 497, 421, 646, 260?

Answer: LCM of 497, 421, 646, 260 is 17571723260.

2. How to calculate the LCM of 497, 421, 646, 260?

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, 421, 646, 260.

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}.