LCM of 431, 551, 988, 342, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 551, 988, 342, 686 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 431, 551, 988, 342, 686. So, keep reading to learn more.
Given numbers are 431,551,988,342,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,551,988,342,686 is 38121400044.
Find LCM of 431,551,988,342,686 with Prime Factorization
| 2 | 431, 551, 988, 342, 686 |
| 19 | 431, 551, 494, 171, 343 |
| 431, 29, 26, 9, 343 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 431 x 29 x 26 x 9 x 343 = 38121400044
Therefore, the lowest common multiple of 431,551,988,342,686 is 38121400044.
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.
431 x 551 x 988 x 342 x 686 = 55047301663536
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.
431 : 1, 431
551 : 1, 19, 29, 551
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,551,988,342,686, is 1.
Now, the common factors can be found like this.
431:431
551:19x 29
988:2x 2x 13x 19
342:2x 3x 3x 19
686:2x 7x 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 19x 19 = 1444
Therefore, the value for common factors is 1444.
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 = 55047301663536/(1x1444)
LCM = 55047301663536/1444
LCM = 38121400044
Thus, we can understand that the LCM of 431,551,988,342,686 is 38121400044.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 431, 551, 988, 342, 686
1. What is the LCM of 431, 551, 988, 342, 686?
Answer: LCM of 431, 551, 988, 342, 686 is 38121400044.
2. How to calculate the LCM of 431, 551, 988, 342, 686?
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 431, 551, 988, 342, 686.
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}.