Given numbers are 724,149,844,742

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

The LCM of 724,149,844,742 is 8444641156.

Find LCM of 724,149,844,742 with Prime Factorization

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

2 x 2 x 181 x 149 x 211 x 371 = 8444641156

Therefore, the lowest common multiple of 724,149,844,742 is 8444641156.

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.

724 x 149 x 844 x 742 = 67557129248

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.

724 : 1, 2, 4, 181, 362, 724

149 : 1, 149

844 : 1, 2, 4, 211, 422, 844

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 724,149,844,742, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

149:149

844:2x 2x 211

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.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 67557129248/(1x8)

LCM = 67557129248/8

LCM = 8444641156

Thus, we can understand that the LCM of 724,149,844,742 is 8444641156.

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

• LCM of 632, 542, 568, 765
• LCM of 629, 609, 425, 612
• LCM of 316, 309, 283, 632
• LCM of 977, 630, 271, 421
• LCM of 669, 828, 158, 470

1. What is the LCM of 724, 149, 844, 742?

Answer: LCM of 724, 149, 844, 742 is 8444641156.

2. How to calculate the LCM of 724, 149, 844, 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 724, 149, 844, 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}.