LCM of 654, 182, 969, 581, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 182, 969, 581, 981 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 654, 182, 969, 581, 981. So, keep reading to learn more.
Given numbers are 654,182,969,581,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,182,969,581,981 is 4786532478.
Find LCM of 654,182,969,581,981 with Prime Factorization
| 2 | 654, 182, 969, 581, 981 |
| 3 | 327, 91, 969, 581, 981 |
| 7 | 109, 91, 323, 581, 327 |
| 109 | 109, 13, 323, 83, 327 |
| 1, 13, 323, 83, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 109 x 1 x 13 x 323 x 83 x 3 = 4786532478
Therefore, the lowest common multiple of 654,182,969,581,981 is 4786532478.
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.
654 x 182 x 969 x 581 x 981 = 65738237052852
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
182 : 1, 2, 7, 13, 14, 26, 91, 182
969 : 1, 3, 17, 19, 51, 57, 323, 969
581 : 1, 7, 83, 581
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,182,969,581,981, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
182:2x 7x 13
969:3x 17x 19
581:7x 83
981:3x 3x 109
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 7x 109 = 13734
Therefore, the value for common factors is 13734.
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 = 65738237052852/(1x13734)
LCM = 65738237052852/13734
LCM = 4786532478
Thus, we can understand that the LCM of 654,182,969,581,981 is 4786532478.
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FAQs on LCM of 654, 182, 969, 581, 981
1. What is the LCM of 654, 182, 969, 581, 981?
Answer: LCM of 654, 182, 969, 581, 981 is 4786532478.
2. How to calculate the LCM of 654, 182, 969, 581, 981?
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 654, 182, 969, 581, 981.
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}.