Given numbers are 738,528,546,425,414

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

The LCM of 738,528,546,425,414 is 57769311600.

Find LCM of 738,528,546,425,414 with Prime Factorization

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

2 x 3 x 3 x 41 x 88 x 91 x 425 x 23 = 57769311600

Therefore, the lowest common multiple of 738,528,546,425,414 is 57769311600.

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.

738 x 528 x 546 x 425 x 414 = 37434513916800

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

425 : 1, 5, 17, 25, 85, 425

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,528,546,425,414, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

528:2x 2x 2x 2x 3x 11

546:2x 3x 7x 13

425:5x 5x 17

414:2x 3x 3x 23

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 37434513916800/(1x648)

LCM = 37434513916800/648

LCM = 57769311600

Thus, we can understand that the LCM of 738,528,546,425,414 is 57769311600.

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

• LCM of 924, 422, 197, 364, 909
• LCM of 469, 605, 107, 685, 654
• LCM of 431, 783, 398, 928, 107
• LCM of 641, 807, 231, 850, 627
• LCM of 106, 973, 803, 953, 722

1. What is the LCM of 738, 528, 546, 425, 414?

Answer: LCM of 738, 528, 546, 425, 414 is 57769311600.

2. How to calculate the LCM of 738, 528, 546, 425, 414?

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 738, 528, 546, 425, 414.

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}.