Given numbers are 738,584,742,975,445

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

The LCM of 738,584,742,975,445 is 2312525287800.

Find LCM of 738,584,742,975,445 with Prime Factorization

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

2 x 3 x 5 x 123 x 292 x 371 x 65 x 89 = 2312525287800

Therefore, the lowest common multiple of 738,584,742,975,445 is 2312525287800.

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 584 x 742 x 975 x 445 = 138751517268000

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

584 : 1, 2, 4, 8, 73, 146, 292, 584

742 : 1, 2, 7, 14, 53, 106, 371, 742

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,584,742,975,445, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

584:2x 2x 2x 73

742:2x 7x 53

975:3x 5x 5x 13

445:5x 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 2x 3x 5 = 60

Therefore, the value for common factors is 60.

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 = 138751517268000/(1x60)

LCM = 138751517268000/60

LCM = 2312525287800

Thus, we can understand that the LCM of 738,584,742,975,445 is 2312525287800.

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

• LCM of 718, 556, 756, 124, 839
• LCM of 616, 815, 924, 714, 821
• LCM of 251, 517, 216, 333, 650
• LCM of 830, 357, 153, 414, 954
• LCM of 876, 648, 621, 636, 436

1. What is the LCM of 738, 584, 742, 975, 445?

Answer: LCM of 738, 584, 742, 975, 445 is 2312525287800.

2. How to calculate the LCM of 738, 584, 742, 975, 445?

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, 584, 742, 975, 445.

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}.