Given numbers are 724,806,374

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

The LCM of 724,806,374 is 54561364.

Find LCM of 724,806,374 with Prime Factorization

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

2 x 362 x 403 x 187 = 54561364

Therefore, the lowest common multiple of 724,806,374 is 54561364.

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 806 x 374 = 218245456

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

374 : 1, 2, 11, 17, 22, 34, 187, 374

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,806,374, is 2.

Now, the common factors can be found like this.

724:2x 2x 181

806:2x 13x 31

374:2x 11x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 218245456/(2x2)

LCM = 218245456/4

LCM = 54561364

Thus, we can understand that the LCM of 724,806,374 is 54561364.

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

• LCM of 807, 601, 126
• LCM of 924, 753, 571
• LCM of 248, 952, 650
• LCM of 195, 693, 843
• LCM of 231, 834, 468

1. What is the LCM of 724, 806, 374?

Answer: LCM of 724, 806, 374 is 54561364.

2. How to calculate the LCM of 724, 806, 374?

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, 806, 374.

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}.