Given numbers are 461,939,689,723

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

The LCM of 461,939,689,723 is 71879125071.

Find LCM of 461,939,689,723 with Prime Factorization

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

3 x 461 x 313 x 689 x 241 = 71879125071

Therefore, the lowest common multiple of 461,939,689,723 is 71879125071.

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 939 x 689 x 723 = 215637375213

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

939 : 1, 3, 313, 939

689 : 1, 13, 53, 689

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,939,689,723, is 1.

Now, the common factors can be found like this.

461:461

939:3x 313

689:13x 53

723:3x 241

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

3 = 3

Therefore, the value for common factors is 3.

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 = 215637375213/(1x3)

LCM = 215637375213/3

LCM = 71879125071

Thus, we can understand that the LCM of 461,939,689,723 is 71879125071.

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

• LCM of 557, 855, 927, 649
• LCM of 123, 305, 888, 643
• LCM of 485, 655, 181, 801
• LCM of 155, 995, 690, 756
• LCM of 748, 644, 438, 798

1. What is the LCM of 461, 939, 689, 723?

Answer: LCM of 461, 939, 689, 723 is 71879125071.

2. How to calculate the LCM of 461, 939, 689, 723?

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, 939, 689, 723.

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}.