Given numbers are 241,520,945,646,914

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

The LCM of 241,520,945,646,914 is 3496237388280.

Find LCM of 241,520,945,646,914 with Prime Factorization

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

2 x 5 x 241 x 52 x 189 x 323 x 457 = 3496237388280

Therefore, the lowest common multiple of 241,520,945,646,914 is 3496237388280.

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 520 x 945 x 646 x 914 = 69924747765600

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

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

646 : 1, 2, 17, 19, 34, 38, 323, 646

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,520,945,646,914, is 1.

Now, the common factors can be found like this.

241:241

520:2x 2x 2x 5x 13

945:3x 3x 3x 5x 7

646:2x 17x 19

914:2x 457

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 5 = 20

Therefore, the value for common factors is 20.

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 = 69924747765600/(1x20)

LCM = 69924747765600/20

LCM = 3496237388280

Thus, we can understand that the LCM of 241,520,945,646,914 is 3496237388280.

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

• LCM of 790, 893, 148, 360, 445
• LCM of 208, 232, 169, 752, 437
• LCM of 460, 174, 759, 499, 661
• LCM of 738, 443, 753, 864, 948
• LCM of 166, 155, 455, 841, 593

1. What is the LCM of 241, 520, 945, 646, 914?

Answer: LCM of 241, 520, 945, 646, 914 is 3496237388280.

2. How to calculate the LCM of 241, 520, 945, 646, 914?

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, 520, 945, 646, 914.

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}.