Given numbers are 729,804,743,636,420

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

The LCM of 729,804,743,636,420 is 269274389580.

Find LCM of 729,804,743,636,420 with Prime Factorization

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

2 x 2 x 3 x 243 x 67 x 743 x 53 x 35 = 269274389580

Therefore, the lowest common multiple of 729,804,743,636,420 is 269274389580.

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.

729 x 804 x 743 x 636 x 420 = 116326536298560

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.

729 : 1, 3, 9, 27, 81, 243, 729

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

743 : 1, 743

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,804,743,636,420, is 1.

Now, the common factors can be found like this.

729:3x 3x 3x 3x 3x 3

804:2x 2x 3x 67

743:743

636:2x 2x 3x 53

420:2x 2x 3x 5x 7

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 116326536298560/(1x432)

LCM = 116326536298560/432

LCM = 269274389580

Thus, we can understand that the LCM of 729,804,743,636,420 is 269274389580.

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

• LCM of 695, 382, 668, 640, 882
• LCM of 632, 358, 321, 651, 588
• LCM of 999, 636, 789, 316, 558
• LCM of 962, 483, 105, 315, 342
• LCM of 730, 675, 580, 852, 924

1. What is the LCM of 729, 804, 743, 636, 420?

Answer: LCM of 729, 804, 743, 636, 420 is 269274389580.

2. How to calculate the LCM of 729, 804, 743, 636, 420?

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 729, 804, 743, 636, 420.

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}.