Given numbers are 738,365,574,716

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

The LCM of 738,365,574,716 is 675041220.

Find LCM of 738,365,574,716 with Prime Factorization

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

2 x 41 x 9 x 365 x 7 x 358 = 675041220

Therefore, the lowest common multiple of 738,365,574,716 is 675041220.

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 365 x 574 x 716 = 110706760080

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

365 : 1, 5, 73, 365

574 : 1, 2, 7, 14, 41, 82, 287, 574

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,365,574,716, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

365:5x 73

574:2x 7x 41

716:2x 2x 179

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 41 = 164

Therefore, the value for common factors is 164.

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 = 110706760080/(1x164)

LCM = 110706760080/164

LCM = 675041220

Thus, we can understand that the LCM of 738,365,574,716 is 675041220.

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

• LCM of 609, 563, 994, 889
• LCM of 501, 260, 847, 890
• LCM of 621, 834, 999, 537
• LCM of 443, 152, 352, 623
• LCM of 756, 500, 633, 381

1. What is the LCM of 738, 365, 574, 716?

Answer: LCM of 738, 365, 574, 716 is 675041220.

2. How to calculate the LCM of 738, 365, 574, 716?

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, 365, 574, 716.

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}.