LCM of 873, 946, 105, 390, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 873, 946, 105, 390, 154 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 873, 946, 105, 390, 154. So, keep reading to learn more.
Given numbers are 873,946,105,390,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,946,105,390,154 is 375765390.
Find LCM of 873,946,105,390,154 with Prime Factorization
| 2 | 873, 946, 105, 390, 154 |
| 3 | 873, 473, 105, 195, 77 |
| 5 | 291, 473, 35, 65, 77 |
| 7 | 291, 473, 7, 13, 77 |
| 11 | 291, 473, 1, 13, 11 |
| 291, 43, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 291 x 43 x 1 x 13 x 1 = 375765390
Therefore, the lowest common multiple of 873,946,105,390,154 is 375765390.
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.
873 x 946 x 105 x 390 x 154 = 5208108305400
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.
873 : 1, 3, 9, 97, 291, 873
946 : 1, 2, 11, 22, 43, 86, 473, 946
105 : 1, 3, 5, 7, 15, 21, 35, 105
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,946,105,390,154, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
946:2x 11x 43
105:3x 5x 7
390:2x 3x 5x 13
154:2x 7x 11
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 3x 5x 7x 11 = 13860
Therefore, the value for common factors is 13860.
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 = 5208108305400/(1x13860)
LCM = 5208108305400/13860
LCM = 375765390
Thus, we can understand that the LCM of 873,946,105,390,154 is 375765390.
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FAQs on LCM of 873, 946, 105, 390, 154
1. What is the LCM of 873, 946, 105, 390, 154?
Answer: LCM of 873, 946, 105, 390, 154 is 375765390.
2. How to calculate the LCM of 873, 946, 105, 390, 154?
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 873, 946, 105, 390, 154.
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}.