Given numbers are 360,348,133,516,972

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

The LCM of 360,348,133,516,972 is 1612071720.

Find LCM of 360,348,133,516,972 with Prime Factorization

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

2 x 2 x 3 x 3 x 10 x 29 x 133 x 43 x 27 = 1612071720

Therefore, the lowest common multiple of 360,348,133,516,972 is 1612071720.

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 348 x 133 x 516 x 972 = 8356979796480

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

133 : 1, 7, 19, 133

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,348,133,516,972, is 1.

Now, the common factors can be found like this.

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

348:2x 2x 3x 29

133:7x 19

516:2x 2x 3x 43

972:2x 2x 3x 3x 3x 3x 3

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 3x 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 8356979796480/(1x5184)

LCM = 8356979796480/5184

LCM = 1612071720

Thus, we can understand that the LCM of 360,348,133,516,972 is 1612071720.

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

• LCM of 720, 812, 721, 265, 728
• LCM of 422, 435, 150, 614, 406
• LCM of 627, 132, 172, 834, 373
• LCM of 770, 929, 287, 485, 646
• LCM of 476, 564, 698, 693, 156

1. What is the LCM of 360, 348, 133, 516, 972?

Answer: LCM of 360, 348, 133, 516, 972 is 1612071720.

2. How to calculate the LCM of 360, 348, 133, 516, 972?

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, 348, 133, 516, 972.

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}.