Given numbers are 360,135,544,943,901

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

The LCM of 360,135,544,943,901 is 3670457760.

Find LCM of 360,135,544,943,901 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 17 x 1 x 3 x 4 x 943 x 53 = 3670457760

Therefore, the lowest common multiple of 360,135,544,943,901 is 3670457760.

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.

360 x 135 x 544 x 943 x 901 = 22463201491200

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

135 : 1, 3, 5, 9, 15, 27, 45, 135

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

943 : 1, 23, 41, 943

901 : 1, 17, 53, 901

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,135,544,943,901, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

135:3x 3x 3x 5

544:2x 2x 2x 2x 2x 17

943:23x 41

901:17x 53

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 3x 3x 5x 17 = 6120

Therefore, the value for common factors is 6120.

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 = 22463201491200/(1x6120)

LCM = 22463201491200/6120

LCM = 3670457760

Thus, we can understand that the LCM of 360,135,544,943,901 is 3670457760.

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

• LCM of 930, 428, 158, 205, 312
• LCM of 972, 677, 494, 678, 434
• LCM of 565, 372, 912, 177, 364
• LCM of 568, 403, 450, 506, 896
• LCM of 872, 139, 642, 141, 323

1. What is the LCM of 360, 135, 544, 943, 901?

Answer: LCM of 360, 135, 544, 943, 901 is 3670457760.

2. How to calculate the LCM of 360, 135, 544, 943, 901?

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 360, 135, 544, 943, 901.

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}.