LCM of 865, 391, 903, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 391, 903, 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 865, 391, 903, 368. So, keep reading to learn more.
Given numbers are 865,391,903,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,391,903,368 is 4886530320.
Find LCM of 865,391,903,368 with Prime Factorization
| 23 | 865, 391, 903, 368 |
| 865, 17, 903, 16 |
Multiply the prime numbers at the bottom and the left side.
23 x 865 x 17 x 903 x 16 = 4886530320
Therefore, the lowest common multiple of 865,391,903,368 is 4886530320.
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.
865 x 391 x 903 x 368 = 112390197360
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.
865 : 1, 5, 173, 865
391 : 1, 17, 23, 391
903 : 1, 3, 7, 21, 43, 129, 301, 903
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 865,391,903,368, is 1.
Now, the common factors can be found like this.
865:5x 173
391:17x 23
903:3x 7x 43
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.
23 = 23
Therefore, the value for common factors is 23.
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 = 112390197360/(1x23)
LCM = 112390197360/23
LCM = 4886530320
Thus, we can understand that the LCM of 865,391,903,368 is 4886530320.
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FAQs on LCM of 865, 391, 903, 368
1. What is the LCM of 865, 391, 903, 368?
Answer: LCM of 865, 391, 903, 368 is 4886530320.
2. How to calculate the LCM of 865, 391, 903, 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 865, 391, 903, 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}.