Given numbers are 545,780,738,194,865

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

The LCM of 545,780,738,194,865 is 175486636260.

Find LCM of 545,780,738,194,865 with Prime Factorization

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

2 x 3 x 5 x 109 x 26 x 123 x 97 x 173 = 175486636260

Therefore, the lowest common multiple of 545,780,738,194,865 is 175486636260.

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.

545 x 780 x 738 x 194 x 865 = 52645990878000

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.

545 : 1, 5, 109, 545

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

194 : 1, 2, 97, 194

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,780,738,194,865, is 1.

Now, the common factors can be found like this.

545:5x 109

780:2x 2x 3x 5x 13

738:2x 3x 3x 41

194:2x 97

865:5x 173

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 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 52645990878000/(1x300)

LCM = 52645990878000/300

LCM = 175486636260

Thus, we can understand that the LCM of 545,780,738,194,865 is 175486636260.

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

• LCM of 963, 597, 451, 814, 287
• LCM of 884, 908, 222, 718, 892
• LCM of 347, 139, 242, 560, 316
• LCM of 765, 435, 331, 267, 967
• LCM of 422, 562, 143, 500, 928

1. What is the LCM of 545, 780, 738, 194, 865?

Answer: LCM of 545, 780, 738, 194, 865 is 175486636260.

2. How to calculate the LCM of 545, 780, 738, 194, 865?

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 545, 780, 738, 194, 865.

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}.