LCM of 935, 689, 515, 331
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 689, 515, 331 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 935, 689, 515, 331. So, keep reading to learn more.
Given numbers are 935,689,515,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,689,515,331 is 21963221995.
Find LCM of 935,689,515,331 with Prime Factorization
| 5 | 935, 689, 515, 331 |
| 187, 689, 103, 331 |
Multiply the prime numbers at the bottom and the left side.
5 x 187 x 689 x 103 x 331 = 21963221995
Therefore, the lowest common multiple of 935,689,515,331 is 21963221995.
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.
935 x 689 x 515 x 331 = 109816109975
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
689 : 1, 13, 53, 689
515 : 1, 5, 103, 515
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,689,515,331, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
689:13x 53
515:5x 103
331:331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 109816109975/(1x5)
LCM = 109816109975/5
LCM = 21963221995
Thus, we can understand that the LCM of 935,689,515,331 is 21963221995.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 935, 689, 515, 331
1. What is the LCM of 935, 689, 515, 331?
Answer: LCM of 935, 689, 515, 331 is 21963221995.
2. How to calculate the LCM of 935, 689, 515, 331?
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 935, 689, 515, 331.
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}.