Given numbers are 540,688,209,880

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

The LCM of 540,688,209,880 is 19411920.

Find LCM of 540,688,209,880 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 11 x 27 x 43 x 19 x 1 = 19411920

Therefore, the lowest common multiple of 540,688,209,880 is 19411920.

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 688 x 209 x 880 = 68329958400

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

209 : 1, 11, 19, 209

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,688,209,880, is 1.

Now, the common factors can be found like this.

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

688:2x 2x 2x 2x 43

209:11x 19

880:2x 2x 2x 2x 5x 11

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 2x 2x 2x 5x 11 = 3520

Therefore, the value for common factors is 3520.

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 = 68329958400/(1x3520)

LCM = 68329958400/3520

LCM = 19411920

Thus, we can understand that the LCM of 540,688,209,880 is 19411920.

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

• LCM of 248, 142, 821, 457
• LCM of 783, 454, 658, 332
• LCM of 461, 843, 846, 995
• LCM of 608, 970, 780, 242
• LCM of 940, 644, 579, 993

1. What is the LCM of 540, 688, 209, 880?

Answer: LCM of 540, 688, 209, 880 is 19411920.

2. How to calculate the LCM of 540, 688, 209, 880?

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, 688, 209, 880.

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}.