Given numbers are 724,543,734,214

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

The LCM of 724,543,734,214 is 85292268.

Find LCM of 724,543,734,214 with Prime Factorization

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

2 x 181 x 2 x 3 x 367 x 107 = 85292268

Therefore, the lowest common multiple of 724,543,734,214 is 85292268.

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 543 x 734 x 214 = 61751602032

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

543 : 1, 3, 181, 543

734 : 1, 2, 367, 734

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,543,734,214, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

543:3x 181

734:2x 367

214:2x 107

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 181 = 724

Therefore, the value for common factors is 724.

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 = 61751602032/(1x724)

LCM = 61751602032/724

LCM = 85292268

Thus, we can understand that the LCM of 724,543,734,214 is 85292268.

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

• LCM of 551, 735, 518, 373
• LCM of 258, 480, 697, 725
• LCM of 465, 615, 702, 448
• LCM of 599, 256, 862, 181
• LCM of 690, 681, 206, 439

1. What is the LCM of 724, 543, 734, 214?

Answer: LCM of 724, 543, 734, 214 is 85292268.

2. How to calculate the LCM of 724, 543, 734, 214?

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, 543, 734, 214.

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}.