Given numbers are 291,645,780,920

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

The LCM of 291,645,780,920 is 149655480.

Find LCM of 291,645,780,920 with Prime Factorization

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

2 x 2 x 3 x 5 x 97 x 43 x 13 x 46 = 149655480

Therefore, the lowest common multiple of 291,645,780,920 is 149655480.

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 645 x 780 x 920 = 134689932000

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

645 : 1, 3, 5, 15, 43, 129, 215, 645

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,645,780,920, is 1.

Now, the common factors can be found like this.

291:3x 97

645:3x 5x 43

780:2x 2x 3x 5x 13

920:2x 2x 2x 5x 23

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 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 134689932000/(1x900)

LCM = 134689932000/900

LCM = 149655480

Thus, we can understand that the LCM of 291,645,780,920 is 149655480.

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

• LCM of 877, 174, 869, 706
• LCM of 485, 827, 405, 544
• LCM of 831, 932, 459, 909
• LCM of 334, 392, 256, 737
• LCM of 268, 340, 780, 925

1. What is the LCM of 291, 645, 780, 920?

Answer: LCM of 291, 645, 780, 920 is 149655480.

2. How to calculate the LCM of 291, 645, 780, 920?

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, 645, 780, 920.

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}.