LCM of 110, 105, 684, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 105, 684, 147 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 110, 105, 684, 147. So, keep reading to learn more.
Given numbers are 110,105,684,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,105,684,147 is 1843380.
Find LCM of 110,105,684,147 with Prime Factorization
| 2 | 110, 105, 684, 147 |
| 3 | 55, 105, 342, 147 |
| 5 | 55, 35, 114, 49 |
| 7 | 11, 7, 114, 49 |
| 11, 1, 114, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 1 x 114 x 7 = 1843380
Therefore, the lowest common multiple of 110,105,684,147 is 1843380.
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.
110 x 105 x 684 x 147 = 1161329400
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
105 : 1, 3, 5, 7, 15, 21, 35, 105
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,105,684,147, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
105:3x 5x 7
684:2x 2x 3x 3x 19
147:3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 7 = 630
Therefore, the value for common factors is 630.
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 = 1161329400/(1x630)
LCM = 1161329400/630
LCM = 1843380
Thus, we can understand that the LCM of 110,105,684,147 is 1843380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 110, 105, 684, 147
1. What is the LCM of 110, 105, 684, 147?
Answer: LCM of 110, 105, 684, 147 is 1843380.
2. How to calculate the LCM of 110, 105, 684, 147?
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 110, 105, 684, 147.
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}.