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LCM of 867, 340, 272, 910, 159

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


Find the LCM of 867, 340, 272, 910, 159 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 867, 340, 272, 910, 159. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 867,340,272,910,159

Given numbers are 867,340,272,910,159

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

The LCM of 867,340,272,910,159 is 334523280.

Find LCM of 867,340,272,910,159 with Prime Factorization


2 867, 340, 272, 910, 159
2 867, 170, 136, 455, 159
3 867, 85, 68, 455, 159
5 289, 85, 68, 455, 53
17 289, 17, 68, 91, 53
1, 17, 4, 91, 53

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

2 x 2 x 3 x 5 x 17 x 1 x 17 x 4 x 91 x 53 = 334523280

Therefore, the lowest common multiple of 867,340,272,910,159 is 334523280.

LCM Formula to Find Lowest Common Multiple of 867,340,272,910,159

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.

867 x 340 x 272 x 910 x 159 = 11601267350400

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.

867 : 1, 3, 17, 51, 289, 867

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

159 : 1, 3, 53, 159

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,340,272,910,159, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

340:2x 2x 5x 17

272:2x 2x 2x 2x 17

910:2x 5x 7x 13

159:3x 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 5x 17x 17 = 34680

Therefore, the value for common factors is 34680.

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 = 11601267350400/(1x34680)

LCM = 11601267350400/34680

LCM = 334523280

Thus, we can understand that the LCM of 867,340,272,910,159 is 334523280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 867, 340, 272, 910, 159

1. What is the LCM of 867, 340, 272, 910, 159?

Answer: LCM of 867, 340, 272, 910, 159 is 334523280.

2. How to calculate the LCM of 867, 340, 272, 910, 159?

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 867, 340, 272, 910, 159.

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}.