Given numbers are 540,271,887,842,758

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

The LCM of 540,271,887,842,758 is 20711329421220.

Find LCM of 540,271,887,842,758 with Prime Factorization

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

2 x 270 x 271 x 887 x 421 x 379 = 20711329421220

Therefore, the lowest common multiple of 540,271,887,842,758 is 20711329421220.

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 271 x 887 x 842 x 758 = 82845317684880

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

271 : 1, 271

887 : 1, 887

842 : 1, 2, 421, 842

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,271,887,842,758, is 1.

Now, the common factors can be found like this.

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

271:271

887:887

842:2x 421

758:2x 379

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 82845317684880/(1x4)

LCM = 82845317684880/4

LCM = 20711329421220

Thus, we can understand that the LCM of 540,271,887,842,758 is 20711329421220.

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

• LCM of 143, 464, 458, 760, 374
• LCM of 335, 188, 880, 388, 943
• LCM of 572, 100, 588, 993, 418
• LCM of 823, 696, 674, 735, 945
• LCM of 301, 406, 790, 451, 112

1. What is the LCM of 540, 271, 887, 842, 758?

Answer: LCM of 540, 271, 887, 842, 758 is 20711329421220.

2. How to calculate the LCM of 540, 271, 887, 842, 758?

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, 271, 887, 842, 758.

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}.