Given numbers are 746,724,540,820,313

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

The LCM of 746,724,540,820,313 is 467852937660.

Find LCM of 746,724,540,820,313 with Prime Factorization

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

2 x 2 x 5 x 373 x 181 x 27 x 41 x 313 = 467852937660

Therefore, the lowest common multiple of 746,724,540,820,313 is 467852937660.

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.

746 x 724 x 540 x 820 x 313 = 74856470025600

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.

746 : 1, 2, 373, 746

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,724,540,820,313, is 1.

Now, the common factors can be found like this.

746:2x 373

724:2x 2x 181

540:2x 2x 3x 3x 3x 5

820:2x 2x 5x 41

313:313

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 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 74856470025600/(1x160)

LCM = 74856470025600/160

LCM = 467852937660

Thus, we can understand that the LCM of 746,724,540,820,313 is 467852937660.

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

• LCM of 109, 523, 994, 649, 417
• LCM of 445, 546, 179, 105, 106
• LCM of 556, 105, 511, 645, 800
• LCM of 737, 584, 779, 736, 872
• LCM of 610, 328, 154, 437, 335

1. What is the LCM of 746, 724, 540, 820, 313?

Answer: LCM of 746, 724, 540, 820, 313 is 467852937660.

2. How to calculate the LCM of 746, 724, 540, 820, 313?

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 746, 724, 540, 820, 313.

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}.