Given numbers are 291,661,540,816

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

The LCM of 291,661,540,816 is 2354376240.

Find LCM of 291,661,540,816 with Prime Factorization

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

2 x 2 x 3 x 97 x 661 x 45 x 68 = 2354376240

Therefore, the lowest common multiple of 291,661,540,816 is 2354376240.

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 661 x 540 x 816 = 84757544640

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

661 : 1, 661

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,661,540,816, is 1.

Now, the common factors can be found like this.

291:3x 97

661:661

540:2x 2x 3x 3x 3x 5

816:2x 2x 2x 2x 3x 17

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 3 = 36

Therefore, the value for common factors is 36.

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 = 84757544640/(1x36)

LCM = 84757544640/36

LCM = 2354376240

Thus, we can understand that the LCM of 291,661,540,816 is 2354376240.

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

• LCM of 396, 172, 781, 786
• LCM of 231, 386, 947, 751
• LCM of 106, 797, 742, 465
• LCM of 532, 984, 511, 505
• LCM of 836, 248, 534, 529

1. What is the LCM of 291, 661, 540, 816?

Answer: LCM of 291, 661, 540, 816 is 2354376240.

2. How to calculate the LCM of 291, 661, 540, 816?

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, 661, 540, 816.

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}.