Given numbers are 723,726,412,267

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

The LCM of 723,726,412,267 is 3207826644.

Find LCM of 723,726,412,267 with Prime Factorization

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

2 x 3 x 241 x 121 x 206 x 89 = 3207826644

Therefore, the lowest common multiple of 723,726,412,267 is 3207826644.

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.

723 x 726 x 412 x 267 = 57740879592

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.

723 : 1, 3, 241, 723

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

412 : 1, 2, 4, 103, 206, 412

267 : 1, 3, 89, 267

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,726,412,267, is 1.

Now, the common factors can be found like this.

723:3x 241

726:2x 3x 11x 11

412:2x 2x 103

267:3x 89

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 57740879592/(1x18)

LCM = 57740879592/18

LCM = 3207826644

Thus, we can understand that the LCM of 723,726,412,267 is 3207826644.

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

• LCM of 914, 237, 851, 596
• LCM of 832, 517, 222, 662
• LCM of 224, 603, 513, 664
• LCM of 392, 619, 583, 805
• LCM of 235, 973, 898, 731

1. What is the LCM of 723, 726, 412, 267?

Answer: LCM of 723, 726, 412, 267 is 3207826644.

2. How to calculate the LCM of 723, 726, 412, 267?

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 723, 726, 412, 267.

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}.