LCM of 981, 106, 742, 390, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 106, 742, 390, 588 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 981, 106, 742, 390, 588. So, keep reading to learn more.
Given numbers are 981,106,742,390,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,106,742,390,588 is 662390820.
Find LCM of 981,106,742,390,588 with Prime Factorization
| 2 | 981, 106, 742, 390, 588 |
| 3 | 981, 53, 371, 195, 294 |
| 7 | 327, 53, 371, 65, 98 |
| 53 | 327, 53, 53, 65, 14 |
| 327, 1, 1, 65, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 53 x 327 x 1 x 1 x 65 x 14 = 662390820
Therefore, the lowest common multiple of 981,106,742,390,588 is 662390820.
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.
981 x 106 x 742 x 390 x 588 = 17693783583840
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.
981 : 1, 3, 9, 109, 327, 981
106 : 1, 2, 53, 106
742 : 1, 2, 7, 14, 53, 106, 371, 742
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,106,742,390,588, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
106:2x 53
742:2x 7x 53
390:2x 3x 5x 13
588:2x 2x 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 2x 2x 3x 3x 7x 53 = 26712
Therefore, the value for common factors is 26712.
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 = 17693783583840/(1x26712)
LCM = 17693783583840/26712
LCM = 662390820
Thus, we can understand that the LCM of 981,106,742,390,588 is 662390820.
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FAQs on LCM of 981, 106, 742, 390, 588
1. What is the LCM of 981, 106, 742, 390, 588?
Answer: LCM of 981, 106, 742, 390, 588 is 662390820.
2. How to calculate the LCM of 981, 106, 742, 390, 588?
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 981, 106, 742, 390, 588.
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}.