LCM of 865, 988, 516, 996, 370
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 988, 516, 996, 370 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, 988, 516, 996, 370. So, keep reading to learn more.
Given numbers are 865,988,516,996,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,988,516,996,370 is 338565404580.
Find LCM of 865,988,516,996,370 with Prime Factorization
| 2 | 865, 988, 516, 996, 370 |
| 2 | 865, 494, 258, 498, 185 |
| 3 | 865, 247, 129, 249, 185 |
| 5 | 865, 247, 43, 83, 185 |
| 173, 247, 43, 83, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 173 x 247 x 43 x 83 x 37 = 338565404580
Therefore, the lowest common multiple of 865,988,516,996,370 is 338565404580.
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 988 x 516 x 996 x 370 = 162511394198400
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
370 : 1, 2, 5, 10, 37, 74, 185, 370
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,988,516,996,370, is 1.
Now, the common factors can be found like this.
865:5x 173
988:2x 2x 13x 19
516:2x 2x 3x 43
996:2x 2x 3x 83
370:2x 5x 37
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 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 162511394198400/(1x480)
LCM = 162511394198400/480
LCM = 338565404580
Thus, we can understand that the LCM of 865,988,516,996,370 is 338565404580.
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FAQs on LCM of 865, 988, 516, 996, 370
1. What is the LCM of 865, 988, 516, 996, 370?
Answer: LCM of 865, 988, 516, 996, 370 is 338565404580.
2. How to calculate the LCM of 865, 988, 516, 996, 370?
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, 988, 516, 996, 370.
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}.