Given numbers are 705,180,996,565,965

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

The LCM of 705,180,996,565,965 is 15313843620.

Find LCM of 705,180,996,565,965 with Prime Factorization

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

2 x 2 x 3 x 5 x 47 x 3 x 83 x 113 x 193 = 15313843620

Therefore, the lowest common multiple of 705,180,996,565,965 is 15313843620.

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.

705 x 180 x 996 x 565 x 965 = 68912296290000

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

565 : 1, 5, 113, 565

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,180,996,565,965, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

180:2x 2x 3x 3x 5

996:2x 2x 3x 83

565:5x 113

965:5x 193

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 3x 5x 5x 5 = 4500

Therefore, the value for common factors is 4500.

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 = 68912296290000/(1x4500)

LCM = 68912296290000/4500

LCM = 15313843620

Thus, we can understand that the LCM of 705,180,996,565,965 is 15313843620.

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

• LCM of 431, 155, 802, 824, 310
• LCM of 284, 794, 210, 962, 926
• LCM of 249, 131, 408, 511, 504
• LCM of 251, 631, 759, 133, 849
• LCM of 811, 989, 685, 948, 728

1. What is the LCM of 705, 180, 996, 565, 965?

Answer: LCM of 705, 180, 996, 565, 965 is 15313843620.

2. How to calculate the LCM of 705, 180, 996, 565, 965?

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 705, 180, 996, 565, 965.

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}.