LCM of 390, 497, 781, 366, 239
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 497, 781, 366, 239 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 390, 497, 781, 366, 239. So, keep reading to learn more.
Given numbers are 390,497,781,366,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,497,781,366,239 is 31084323270.
Find LCM of 390,497,781,366,239 with Prime Factorization
| 2 | 390, 497, 781, 366, 239 |
| 3 | 195, 497, 781, 183, 239 |
| 71 | 65, 497, 781, 61, 239 |
| 65, 7, 11, 61, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 65 x 7 x 11 x 61 x 239 = 31084323270
Therefore, the lowest common multiple of 390,497,781,366,239 is 31084323270.
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.
390 x 497 x 781 x 366 x 239 = 13241921713020
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
497 : 1, 7, 71, 497
781 : 1, 11, 71, 781
366 : 1, 2, 3, 6, 61, 122, 183, 366
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,497,781,366,239, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
497:7x 71
781:11x 71
366:2x 3x 61
239:239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 71 = 426
Therefore, the value for common factors is 426.
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 = 13241921713020/(1x426)
LCM = 13241921713020/426
LCM = 31084323270
Thus, we can understand that the LCM of 390,497,781,366,239 is 31084323270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 390, 497, 781, 366, 239
1. What is the LCM of 390, 497, 781, 366, 239?
Answer: LCM of 390, 497, 781, 366, 239 is 31084323270.
2. How to calculate the LCM of 390, 497, 781, 366, 239?
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 390, 497, 781, 366, 239.
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}.