Given numbers are 461,707,404,596

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

The LCM of 461,707,404,596 is 194252492.

Find LCM of 461,707,404,596 with Prime Factorization

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

2 x 2 x 101 x 461 x 7 x 1 x 149 = 194252492

Therefore, the lowest common multiple of 461,707,404,596 is 194252492.

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.

461 x 707 x 404 x 596 = 78478006768

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.

461 : 1, 461

707 : 1, 7, 101, 707

404 : 1, 2, 4, 101, 202, 404

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,707,404,596, is 1.

Now, the common factors can be found like this.

461:461

707:7x 101

404:2x 2x 101

596:2x 2x 149

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 101 = 404

Therefore, the value for common factors is 404.

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 = 78478006768/(1x404)

LCM = 78478006768/404

LCM = 194252492

Thus, we can understand that the LCM of 461,707,404,596 is 194252492.

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

• LCM of 584, 848, 965, 401
• LCM of 410, 775, 275, 520
• LCM of 323, 224, 203, 150
• LCM of 799, 530, 794, 993
• LCM of 107, 924, 844, 761

1. What is the LCM of 461, 707, 404, 596?

Answer: LCM of 461, 707, 404, 596 is 194252492.

2. How to calculate the LCM of 461, 707, 404, 596?

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 461, 707, 404, 596.

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}.