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LCM of 115, 781, 319, 398, 368

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


Find the LCM of 115, 781, 319, 398, 368 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 115, 781, 319, 398, 368. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 115,781,319,398,368

Given numbers are 115,781,319,398,368

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

The LCM of 115,781,319,398,368 is 8293157840.

Find LCM of 115,781,319,398,368 with Prime Factorization


2 115, 781, 319, 398, 368
11 115, 781, 319, 199, 184
23 115, 71, 29, 199, 184
5, 71, 29, 199, 8

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

2 x 11 x 23 x 5 x 71 x 29 x 199 x 8 = 8293157840

Therefore, the lowest common multiple of 115,781,319,398,368 is 8293157840.

LCM Formula to Find Lowest Common Multiple of 115,781,319,398,368

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.

115 x 781 x 319 x 398 x 368 = 4196337867040

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.

115 : 1, 5, 23, 115

781 : 1, 11, 71, 781

319 : 1, 11, 29, 319

398 : 1, 2, 199, 398

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,781,319,398,368, is 1.

Now, the common factors can be found like this.

115:5x 23

781:11x 71

319:11x 29

398:2x 199

368:2x 2x 2x 2x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11x 23 = 506

Therefore, the value for common factors is 506.

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 = 4196337867040/(1x506)

LCM = 4196337867040/506

LCM = 8293157840

Thus, we can understand that the LCM of 115,781,319,398,368 is 8293157840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 115, 781, 319, 398, 368

1. What is the LCM of 115, 781, 319, 398, 368?

Answer: LCM of 115, 781, 319, 398, 368 is 8293157840.

2. How to calculate the LCM of 115, 781, 319, 398, 368?

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 115, 781, 319, 398, 368.

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}.