LCM of 989, 506, 165, 866, 276
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 506, 165, 866, 276 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 989, 506, 165, 866, 276. So, keep reading to learn more.
Given numbers are 989,506,165,866,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,506,165,866,276 is 282636420.
Find LCM of 989,506,165,866,276 with Prime Factorization
| 2 | 989, 506, 165, 866, 276 |
| 3 | 989, 253, 165, 433, 138 |
| 11 | 989, 253, 55, 433, 46 |
| 23 | 989, 23, 5, 433, 46 |
| 43, 1, 5, 433, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 43 x 1 x 5 x 433 x 2 = 282636420
Therefore, the lowest common multiple of 989,506,165,866,276 is 282636420.
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.
989 x 506 x 165 x 866 x 276 = 19735935935760
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.
989 : 1, 23, 43, 989
506 : 1, 2, 11, 22, 23, 46, 253, 506
165 : 1, 3, 5, 11, 15, 33, 55, 165
866 : 1, 2, 433, 866
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,506,165,866,276, is 1.
Now, the common factors can be found like this.
989:23x 43
506:2x 11x 23
165:3x 5x 11
866:2x 433
276:2x 2x 3x 23
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 11x 23x 23 = 69828
Therefore, the value for common factors is 69828.
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 = 19735935935760/(1x69828)
LCM = 19735935935760/69828
LCM = 282636420
Thus, we can understand that the LCM of 989,506,165,866,276 is 282636420.
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FAQs on LCM of 989, 506, 165, 866, 276
1. What is the LCM of 989, 506, 165, 866, 276?
Answer: LCM of 989, 506, 165, 866, 276 is 282636420.
2. How to calculate the LCM of 989, 506, 165, 866, 276?
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 989, 506, 165, 866, 276.
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}.