LCM of 146, 783, 718, 876, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 783, 718, 876, 986 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 146, 783, 718, 876, 986. So, keep reading to learn more.
Given numbers are 146,783,718,876,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,783,718,876,986 is 1395365508.
Find LCM of 146,783,718,876,986 with Prime Factorization
| 2 | 146, 783, 718, 876, 986 |
| 3 | 73, 783, 359, 438, 493 |
| 29 | 73, 261, 359, 146, 493 |
| 73 | 73, 9, 359, 146, 17 |
| 1, 9, 359, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 73 x 1 x 9 x 359 x 2 x 17 = 1395365508
Therefore, the lowest common multiple of 146,783,718,876,986 is 1395365508.
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.
146 x 783 x 718 x 876 x 986 = 70895730730464
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.
146 : 1, 2, 73, 146
783 : 1, 3, 9, 27, 29, 87, 261, 783
718 : 1, 2, 359, 718
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,783,718,876,986, is 1.
Now, the common factors can be found like this.
146:2x 73
783:3x 3x 3x 29
718:2x 359
876:2x 2x 3x 73
986:2x 17x 29
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 3x 29x 73 = 50808
Therefore, the value for common factors is 50808.
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 = 70895730730464/(1x50808)
LCM = 70895730730464/50808
LCM = 1395365508
Thus, we can understand that the LCM of 146,783,718,876,986 is 1395365508.
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FAQs on LCM of 146, 783, 718, 876, 986
1. What is the LCM of 146, 783, 718, 876, 986?
Answer: LCM of 146, 783, 718, 876, 986 is 1395365508.
2. How to calculate the LCM of 146, 783, 718, 876, 986?
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 146, 783, 718, 876, 986.
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}.