Given numbers are 301,461,829,742

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

The LCM of 301,461,829,742 is 12193484114.

Find LCM of 301,461,829,742 with Prime Factorization

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

7 x 43 x 461 x 829 x 106 = 12193484114

Therefore, the lowest common multiple of 301,461,829,742 is 12193484114.

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.

301 x 461 x 829 x 742 = 85354388798

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.

301 : 1, 7, 43, 301

461 : 1, 461

829 : 1, 829

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,461,829,742, is 1.

Now, the common factors can be found like this.

301:7x 43

461:461

829:829

742:2x 7x 53

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

7 = 7

Therefore, the value for common factors is 7.

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 = 85354388798/(1x7)

LCM = 85354388798/7

LCM = 12193484114

Thus, we can understand that the LCM of 301,461,829,742 is 12193484114.

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

• LCM of 242, 897, 813, 551
• LCM of 348, 121, 690, 180
• LCM of 774, 681, 404, 848
• LCM of 388, 101, 918, 395
• LCM of 681, 668, 504, 721

1. What is the LCM of 301, 461, 829, 742?

Answer: LCM of 301, 461, 829, 742 is 12193484114.

2. How to calculate the LCM of 301, 461, 829, 742?

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 301, 461, 829, 742.

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}.