Given numbers are 241,915,702,976,728

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

The LCM of 241,915,702,976,728 is 2889628560.

Find LCM of 241,915,702,976,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 61 x 241 x 5 x 9 x 2 x 7 = 2889628560

Therefore, the lowest common multiple of 241,915,702,976,728 is 2889628560.

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.

241 x 915 x 702 x 976 x 728 = 109990821507840

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.

241 : 1, 241

915 : 1, 3, 5, 15, 61, 183, 305, 915

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,915,702,976,728, is 1.

Now, the common factors can be found like this.

241:241

915:3x 5x 61

702:2x 3x 3x 3x 13

976:2x 2x 2x 2x 61

728:2x 2x 2x 7x 13

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 2x 3x 13x 61 = 38064

Therefore, the value for common factors is 38064.

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 = 109990821507840/(1x38064)

LCM = 109990821507840/38064

LCM = 2889628560

Thus, we can understand that the LCM of 241,915,702,976,728 is 2889628560.

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

• LCM of 920, 841, 116, 273, 455
• LCM of 247, 296, 443, 412, 874
• LCM of 660, 749, 140, 226, 894
• LCM of 858, 543, 433, 309, 152
• LCM of 635, 876, 411, 660, 592

1. What is the LCM of 241, 915, 702, 976, 728?

Answer: LCM of 241, 915, 702, 976, 728 is 2889628560.

2. How to calculate the LCM of 241, 915, 702, 976, 728?

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 241, 915, 702, 976, 728.

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}.