LCM of 964, 726, 119, 180, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 726, 119, 180, 869 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 964, 726, 119, 180, 869. So, keep reading to learn more.
Given numbers are 964,726,119,180,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,726,119,180,869 is 49345660980.
Find LCM of 964,726,119,180,869 with Prime Factorization
| 2 | 964, 726, 119, 180, 869 |
| 2 | 482, 363, 119, 90, 869 |
| 3 | 241, 363, 119, 45, 869 |
| 11 | 241, 121, 119, 15, 869 |
| 241, 11, 119, 15, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 241 x 11 x 119 x 15 x 79 = 49345660980
Therefore, the lowest common multiple of 964,726,119,180,869 is 49345660980.
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.
964 x 726 x 119 x 180 x 869 = 13027254498720
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.
964 : 1, 2, 4, 241, 482, 964
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
119 : 1, 7, 17, 119
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,726,119,180,869, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
726:2x 3x 11x 11
119:7x 17
180:2x 2x 3x 3x 5
869:11x 79
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 11 = 264
Therefore, the value for common factors is 264.
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 = 13027254498720/(1x264)
LCM = 13027254498720/264
LCM = 49345660980
Thus, we can understand that the LCM of 964,726,119,180,869 is 49345660980.
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FAQs on LCM of 964, 726, 119, 180, 869
1. What is the LCM of 964, 726, 119, 180, 869?
Answer: LCM of 964, 726, 119, 180, 869 is 49345660980.
2. How to calculate the LCM of 964, 726, 119, 180, 869?
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 964, 726, 119, 180, 869.
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}.