LCM of 180, 344, 428, 969, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 344, 428, 969, 916 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 180, 344, 428, 969, 916. So, keep reading to learn more.
Given numbers are 180,344,428,969,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,344,428,969,916 is 122515980120.
Find LCM of 180,344,428,969,916 with Prime Factorization
| 2 | 180, 344, 428, 969, 916 |
| 2 | 90, 172, 214, 969, 458 |
| 3 | 45, 86, 107, 969, 229 |
| 15, 86, 107, 323, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 15 x 86 x 107 x 323 x 229 = 122515980120
Therefore, the lowest common multiple of 180,344,428,969,916 is 122515980120.
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.
180 x 344 x 428 x 969 x 916 = 23523068183040
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
344 : 1, 2, 4, 8, 43, 86, 172, 344
428 : 1, 2, 4, 107, 214, 428
969 : 1, 3, 17, 19, 51, 57, 323, 969
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,344,428,969,916, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
344:2x 2x 2x 43
428:2x 2x 107
969:3x 17x 19
916:2x 2x 229
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 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 23523068183040/(1x192)
LCM = 23523068183040/192
LCM = 122515980120
Thus, we can understand that the LCM of 180,344,428,969,916 is 122515980120.
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FAQs on LCM of 180, 344, 428, 969, 916
1. What is the LCM of 180, 344, 428, 969, 916?
Answer: LCM of 180, 344, 428, 969, 916 is 122515980120.
2. How to calculate the LCM of 180, 344, 428, 969, 916?
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 180, 344, 428, 969, 916.
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}.