Given numbers are 540,856,987,461

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

The LCM of 540,856,987,461 is 17526869640.

Find LCM of 540,856,987,461 with Prime Factorization

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

2 x 2 x 3 x 45 x 214 x 329 x 461 = 17526869640

Therefore, the lowest common multiple of 540,856,987,461 is 17526869640.

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 856 x 987 x 461 = 210322435680

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

987 : 1, 3, 7, 21, 47, 141, 329, 987

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,856,987,461, is 1.

Now, the common factors can be found like this.

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

856:2x 2x 2x 107

987:3x 7x 47

461:461

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 3 = 12

Therefore, the value for common factors is 12.

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 = 210322435680/(1x12)

LCM = 210322435680/12

LCM = 17526869640

Thus, we can understand that the LCM of 540,856,987,461 is 17526869640.

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

• LCM of 367, 963, 686, 657
• LCM of 172, 551, 870, 914
• LCM of 980, 802, 696, 509
• LCM of 960, 808, 872, 130
• LCM of 155, 978, 142, 347

1. What is the LCM of 540, 856, 987, 461?

Answer: LCM of 540, 856, 987, 461 is 17526869640.

2. How to calculate the LCM of 540, 856, 987, 461?

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, 856, 987, 461.

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}.