Given numbers are 458,687,490,797

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

The LCM of 458,687,490,797 is 268294110.

Find LCM of 458,687,490,797 with Prime Factorization

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

2 x 229 x 1 x 3 x 245 x 797 = 268294110

Therefore, the lowest common multiple of 458,687,490,797 is 268294110.

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.

458 x 687 x 490 x 797 = 122878702380

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.

458 : 1, 2, 229, 458

687 : 1, 3, 229, 687

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

797 : 1, 797

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,687,490,797, is 1.

Now, the common factors can be found like this.

458:2x 229

687:3x 229

490:2x 5x 7x 7

797:797

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

2x 229 = 458

Therefore, the value for common factors is 458.

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 = 122878702380/(1x458)

LCM = 122878702380/458

LCM = 268294110

Thus, we can understand that the LCM of 458,687,490,797 is 268294110.

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

• LCM of 944, 250, 643, 982
• LCM of 608, 788, 574, 740
• LCM of 861, 177, 140, 494
• LCM of 355, 764, 755, 714
• LCM of 510, 442, 333, 891

1. What is the LCM of 458, 687, 490, 797?

Answer: LCM of 458, 687, 490, 797 is 268294110.

2. How to calculate the LCM of 458, 687, 490, 797?

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 458, 687, 490, 797.

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}.