Given numbers are 540,921,474,816

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

The LCM of 540,921,474,816 is 890570160.

Find LCM of 540,921,474,816 with Prime Factorization

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

2 x 2 x 3 x 45 x 307 x 79 x 68 = 890570160

Therefore, the lowest common multiple of 540,921,474,816 is 890570160.

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.

540 x 921 x 474 x 816 = 192363154560

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.

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

921 : 1, 3, 307, 921

474 : 1, 2, 3, 6, 79, 158, 237, 474

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,921,474,816, is 3.

Now, the common factors can be found like this.

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

921:3x 307

474:2x 3x 79

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 192363154560/(3x72)

LCM = 192363154560/216

LCM = 890570160

Thus, we can understand that the LCM of 540,921,474,816 is 890570160.

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

• LCM of 198, 630, 243, 800
• LCM of 662, 587, 859, 158
• LCM of 466, 168, 777, 398
• LCM of 807, 174, 231, 203
• LCM of 849, 168, 906, 403

1. What is the LCM of 540, 921, 474, 816?

Answer: LCM of 540, 921, 474, 816 is 890570160.

2. How to calculate the LCM of 540, 921, 474, 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 540, 921, 474, 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}.