LCM of 983, 385, 981, 436, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 385, 981, 436, 132 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 983, 385, 981, 436, 132. So, keep reading to learn more.
Given numbers are 983,385,981,436,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,385,981,436,132 is 1485057420.
Find LCM of 983,385,981,436,132 with Prime Factorization
| 2 | 983, 385, 981, 436, 132 |
| 2 | 983, 385, 981, 218, 66 |
| 3 | 983, 385, 981, 109, 33 |
| 11 | 983, 385, 327, 109, 11 |
| 109 | 983, 35, 327, 109, 1 |
| 983, 35, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 109 x 983 x 35 x 3 x 1 x 1 = 1485057420
Therefore, the lowest common multiple of 983,385,981,436,132 is 1485057420.
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.
983 x 385 x 981 x 436 x 132 = 21367006158960
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.
983 : 1, 983
385 : 1, 5, 7, 11, 35, 55, 77, 385
981 : 1, 3, 9, 109, 327, 981
436 : 1, 2, 4, 109, 218, 436
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,385,981,436,132, is 1.
Now, the common factors can be found like this.
983:983
385:5x 7x 11
981:3x 3x 109
436:2x 2x 109
132:2x 2x 3x 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 11x 109 = 14388
Therefore, the value for common factors is 14388.
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 = 21367006158960/(1x14388)
LCM = 21367006158960/14388
LCM = 1485057420
Thus, we can understand that the LCM of 983,385,981,436,132 is 1485057420.
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FAQs on LCM of 983, 385, 981, 436, 132
1. What is the LCM of 983, 385, 981, 436, 132?
Answer: LCM of 983, 385, 981, 436, 132 is 1485057420.
2. How to calculate the LCM of 983, 385, 981, 436, 132?
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 983, 385, 981, 436, 132.
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}.