Given numbers are 497,771,161,460

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

The LCM of 497,771,161,460 is 176266020.

Find LCM of 497,771,161,460 with Prime Factorization

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

7 x 23 x 71 x 771 x 1 x 20 = 176266020

Therefore, the lowest common multiple of 497,771,161,460 is 176266020.

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 771 x 161 x 460 = 28378829220

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

771 : 1, 3, 257, 771

161 : 1, 7, 23, 161

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,771,161,460, is 1.

Now, the common factors can be found like this.

497:7x 71

771:3x 257

161:7x 23

460:2x 2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7x 23 = 161

Therefore, the value for common factors is 161.

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 = 28378829220/(1x161)

LCM = 28378829220/161

LCM = 176266020

Thus, we can understand that the LCM of 497,771,161,460 is 176266020.

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

• LCM of 330, 837, 999, 576
• LCM of 994, 545, 914, 952
• LCM of 602, 707, 413, 895
• LCM of 828, 429, 410, 499
• LCM of 651, 521, 840, 862

1. What is the LCM of 497, 771, 161, 460?

Answer: LCM of 497, 771, 161, 460 is 176266020.

2. How to calculate the LCM of 497, 771, 161, 460?

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, 771, 161, 460.

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}.