LCM of 912, 951, 789, 368, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 912, 951, 789, 368, 949 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 912, 951, 789, 368, 949. So, keep reading to learn more.
Given numbers are 912,951,789,368,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,951,789,368,949 is 1659601801104.
Find LCM of 912,951,789,368,949 with Prime Factorization
| 2 | 912, 951, 789, 368, 949 |
| 2 | 456, 951, 789, 184, 949 |
| 2 | 228, 951, 789, 92, 949 |
| 2 | 114, 951, 789, 46, 949 |
| 3 | 57, 951, 789, 23, 949 |
| 19, 317, 263, 23, 949 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 317 x 263 x 23 x 949 = 1659601801104
Therefore, the lowest common multiple of 912,951,789,368,949 is 1659601801104.
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.
912 x 951 x 789 x 368 x 949 = 238982659358976
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.
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
951 : 1, 3, 317, 951
789 : 1, 3, 263, 789
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,951,789,368,949, is 1.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
951:3x 317
789:3x 263
368:2x 2x 2x 2x 23
949:13x 73
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 238982659358976/(1x144)
LCM = 238982659358976/144
LCM = 1659601801104
Thus, we can understand that the LCM of 912,951,789,368,949 is 1659601801104.
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FAQs on LCM of 912, 951, 789, 368, 949
1. What is the LCM of 912, 951, 789, 368, 949?
Answer: LCM of 912, 951, 789, 368, 949 is 1659601801104.
2. How to calculate the LCM of 912, 951, 789, 368, 949?
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 912, 951, 789, 368, 949.
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}.