Given numbers are 291,743,104,306,780

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

The LCM of 291,743,104,306,780 is 5733968760.

Find LCM of 291,743,104,306,780 with Prime Factorization

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

2 x 2 x 3 x 13 x 97 x 743 x 2 x 51 x 5 = 5733968760

Therefore, the lowest common multiple of 291,743,104,306,780 is 5733968760.

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.

291 x 743 x 104 x 306 x 780 = 5366994759360

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.

291 : 1, 3, 97, 291

743 : 1, 743

104 : 1, 2, 4, 8, 13, 26, 52, 104

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,743,104,306,780, is 1.

Now, the common factors can be found like this.

291:3x 97

743:743

104:2x 2x 2x 13

306:2x 3x 3x 17

780:2x 2x 3x 5x 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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 5366994759360/(1x936)

LCM = 5366994759360/936

LCM = 5733968760

Thus, we can understand that the LCM of 291,743,104,306,780 is 5733968760.

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

• LCM of 529, 328, 796, 548, 966
• LCM of 238, 285, 920, 378, 786
• LCM of 100, 553, 194, 456, 845
• LCM of 257, 940, 637, 899, 336
• LCM of 280, 939, 756, 828, 738

1. What is the LCM of 291, 743, 104, 306, 780?

Answer: LCM of 291, 743, 104, 306, 780 is 5733968760.

2. How to calculate the LCM of 291, 743, 104, 306, 780?

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 291, 743, 104, 306, 780.

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}.