Given numbers are 986,406,461,729

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

The LCM of 986,406,461,729 is 2319548238.

Find LCM of 986,406,461,729 with Prime Factorization

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

2 x 29 x 17 x 7 x 461 x 729 = 2319548238

Therefore, the lowest common multiple of 986,406,461,729 is 2319548238.

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.

986 x 406 x 461 x 729 = 134533797804

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

406 : 1, 2, 7, 14, 29, 58, 203, 406

461 : 1, 461

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,406,461,729, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

406:2x 7x 29

461:461

729:3x 3x 3x 3x 3x 3

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 134533797804/(1x58)

LCM = 134533797804/58

LCM = 2319548238

Thus, we can understand that the LCM of 986,406,461,729 is 2319548238.

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

• LCM of 770, 532, 785, 642
• LCM of 672, 548, 854, 300
• LCM of 325, 830, 330, 343
• LCM of 785, 761, 602, 630
• LCM of 637, 759, 463, 260

1. What is the LCM of 986, 406, 461, 729?

Answer: LCM of 986, 406, 461, 729 is 2319548238.

2. How to calculate the LCM of 986, 406, 461, 729?

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 986, 406, 461, 729.

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}.