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LCM of 240, 917, 312, 162, 361

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 240, 917, 312, 162, 361 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 240, 917, 312, 162, 361. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 240,917,312,162,361

Given numbers are 240,917,312,162,361

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

The LCM of 240,917,312,162,361 is 27886556880.

Find LCM of 240,917,312,162,361 with Prime Factorization


2 240, 917, 312, 162, 361
2 120, 917, 156, 81, 361
2 60, 917, 78, 81, 361
3 30, 917, 39, 81, 361
10, 917, 13, 27, 361

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

2 x 2 x 2 x 3 x 10 x 917 x 13 x 27 x 361 = 27886556880

Therefore, the lowest common multiple of 240,917,312,162,361 is 27886556880.

LCM Formula to Find Lowest Common Multiple of 240,917,312,162,361

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.

240 x 917 x 312 x 162 x 361 = 4015664190720

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

917 : 1, 7, 131, 917

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,917,312,162,361, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

917:7x 131

312:2x 2x 2x 3x 13

162:2x 3x 3x 3x 3

361:19x 19

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 4015664190720/(1x144)

LCM = 4015664190720/144

LCM = 27886556880

Thus, we can understand that the LCM of 240,917,312,162,361 is 27886556880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 240, 917, 312, 162, 361

1. What is the LCM of 240, 917, 312, 162, 361?

Answer: LCM of 240, 917, 312, 162, 361 is 27886556880.

2. How to calculate the LCM of 240, 917, 312, 162, 361?

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 240, 917, 312, 162, 361.

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}.