Given numbers are 461,472,431,413

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

The LCM of 461,472,431,413 is 656475064.

Find LCM of 461,472,431,413 with Prime Factorization

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

59 x 461 x 8 x 431 x 7 = 656475064

Therefore, the lowest common multiple of 461,472,431,413 is 656475064.

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 472 x 431 x 413 = 38732028776

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

472 : 1, 2, 4, 8, 59, 118, 236, 472

431 : 1, 431

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,472,431,413, is 1.

Now, the common factors can be found like this.

461:461

472:2x 2x 2x 59

431:431

413:7x 59

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

59 = 59

Therefore, the value for common factors is 59.

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 = 38732028776/(1x59)

LCM = 38732028776/59

LCM = 656475064

Thus, we can understand that the LCM of 461,472,431,413 is 656475064.

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

• LCM of 642, 824, 718, 124
• LCM of 942, 893, 772, 310
• LCM of 320, 567, 191, 656
• LCM of 618, 433, 783, 405
• LCM of 199, 224, 624, 709

1. What is the LCM of 461, 472, 431, 413?

Answer: LCM of 461, 472, 431, 413 is 656475064.

2. How to calculate the LCM of 461, 472, 431, 413?

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, 472, 431, 413.

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}.