LCM of 187, 834, 978, 902, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 834, 978, 902, 417 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 187, 834, 978, 902, 417. So, keep reading to learn more.
Given numbers are 187,834,978,902,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,834,978,902,417 is 1042267314.
Find LCM of 187,834,978,902,417 with Prime Factorization
| 2 | 187, 834, 978, 902, 417 |
| 3 | 187, 417, 489, 451, 417 |
| 11 | 187, 139, 163, 451, 139 |
| 139 | 17, 139, 163, 41, 139 |
| 17, 1, 163, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 139 x 17 x 1 x 163 x 41 x 1 = 1042267314
Therefore, the lowest common multiple of 187,834,978,902,417 is 1042267314.
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.
187 x 834 x 978 x 902 x 417 = 57370562031816
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.
187 : 1, 11, 17, 187
834 : 1, 2, 3, 6, 139, 278, 417, 834
978 : 1, 2, 3, 6, 163, 326, 489, 978
902 : 1, 2, 11, 22, 41, 82, 451, 902
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,834,978,902,417, is 1.
Now, the common factors can be found like this.
187:11x 17
834:2x 3x 139
978:2x 3x 163
902:2x 11x 41
417:3x 139
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 3x 3x 11x 139 = 55044
Therefore, the value for common factors is 55044.
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 = 57370562031816/(1x55044)
LCM = 57370562031816/55044
LCM = 1042267314
Thus, we can understand that the LCM of 187,834,978,902,417 is 1042267314.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 187, 834, 978, 902, 417
1. What is the LCM of 187, 834, 978, 902, 417?
Answer: LCM of 187, 834, 978, 902, 417 is 1042267314.
2. How to calculate the LCM of 187, 834, 978, 902, 417?
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 187, 834, 978, 902, 417.
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}.