Given numbers are 759,241,897,720,561

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

The LCM of 759,241,897,720,561 is 9702023760.

Find LCM of 759,241,897,720,561 with Prime Factorization

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

3 x 11 x 23 x 1 x 241 x 13 x 240 x 17 = 9702023760

Therefore, the lowest common multiple of 759,241,897,720,561 is 9702023760.

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.

759 x 241 x 897 x 720 x 561 = 66274524304560

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

241 : 1, 241

897 : 1, 3, 13, 23, 39, 69, 299, 897

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,241,897,720,561, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

241:241

897:3x 13x 23

720:2x 2x 2x 2x 3x 3x 5

561:3x 11x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 11x 23 = 6831

Therefore, the value for common factors is 6831.

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 = 66274524304560/(1x6831)

LCM = 66274524304560/6831

LCM = 9702023760

Thus, we can understand that the LCM of 759,241,897,720,561 is 9702023760.

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

• LCM of 341, 669, 856, 776, 605
• LCM of 144, 369, 593, 871, 237
• LCM of 753, 146, 845, 772, 896
• LCM of 636, 693, 908, 521, 856
• LCM of 479, 141, 677, 248, 585

1. What is the LCM of 759, 241, 897, 720, 561?

Answer: LCM of 759, 241, 897, 720, 561 is 9702023760.

2. How to calculate the LCM of 759, 241, 897, 720, 561?

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 759, 241, 897, 720, 561.

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}.