LCM of 110, 146, 693, 735, 983
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 146, 693, 735, 983 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, 146, 693, 735, 983. So, keep reading to learn more.
Given numbers are 110,146,693,735,983
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,146,693,735,983 is 3481029090.
Find LCM of 110,146,693,735,983 with Prime Factorization
| 2 | 110, 146, 693, 735, 983 |
| 3 | 55, 73, 693, 735, 983 |
| 5 | 55, 73, 231, 245, 983 |
| 7 | 11, 73, 231, 49, 983 |
| 11 | 11, 73, 33, 7, 983 |
| 1, 73, 3, 7, 983 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 1 x 73 x 3 x 7 x 983 = 3481029090
Therefore, the lowest common multiple of 110,146,693,735,983 is 3481029090.
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 146 x 693 x 735 x 983 = 8041177197900
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
146 : 1, 2, 73, 146
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
983 : 1, 983
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,146,693,735,983, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
146:2x 73
693:3x 3x 7x 11
735:3x 5x 7x 7
983:983
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 5x 7x 11 = 2310
Therefore, the value for common factors is 2310.
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 = 8041177197900/(1x2310)
LCM = 8041177197900/2310
LCM = 3481029090
Thus, we can understand that the LCM of 110,146,693,735,983 is 3481029090.
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FAQs on LCM of 110, 146, 693, 735, 983
1. What is the LCM of 110, 146, 693, 735, 983?
Answer: LCM of 110, 146, 693, 735, 983 is 3481029090.
2. How to calculate the LCM of 110, 146, 693, 735, 983?
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, 146, 693, 735, 983.
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}.