Given numbers are 738,300,726,917

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

The LCM of 738,300,726,917 is 4094313300.

Find LCM of 738,300,726,917 with Prime Factorization

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

2 x 3 x 123 x 50 x 121 x 917 = 4094313300

Therefore, the lowest common multiple of 738,300,726,917 is 4094313300.

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 300 x 726 x 917 = 147395278800

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

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,300,726,917, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

300:2x 2x 3x 5x 5

726:2x 3x 11x 11

917:7x 131

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 3 = 36

Therefore, the value for common factors is 36.

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 = 147395278800/(1x36)

LCM = 147395278800/36

LCM = 4094313300

Thus, we can understand that the LCM of 738,300,726,917 is 4094313300.

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

• LCM of 144, 492, 681, 329
• LCM of 721, 526, 547, 931
• LCM of 528, 509, 496, 999
• LCM of 102, 261, 480, 848
• LCM of 404, 467, 391, 614

1. What is the LCM of 738, 300, 726, 917?

Answer: LCM of 738, 300, 726, 917 is 4094313300.

2. How to calculate the LCM of 738, 300, 726, 917?

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, 300, 726, 917.

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}.