LCM of 935, 677, 119, 239, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 677, 119, 239, 462 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, 677, 119, 239, 462. So, keep reading to learn more.
Given numbers are 935,677,119,239,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,677,119,239,462 is 6354003810.
Find LCM of 935,677,119,239,462 with Prime Factorization
| 7 | 935, 677, 119, 239, 462 |
| 11 | 935, 677, 17, 239, 66 |
| 17 | 85, 677, 17, 239, 6 |
| 5, 677, 1, 239, 6 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 17 x 5 x 677 x 1 x 239 x 6 = 6354003810
Therefore, the lowest common multiple of 935,677,119,239,462 is 6354003810.
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 677 x 119 x 239 x 462 = 8317390987290
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
677 : 1, 677
119 : 1, 7, 17, 119
239 : 1, 239
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,677,119,239,462, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
677:677
119:7x 17
239:239
462:2x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 17 = 1309
Therefore, the value for common factors is 1309.
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 = 8317390987290/(1x1309)
LCM = 8317390987290/1309
LCM = 6354003810
Thus, we can understand that the LCM of 935,677,119,239,462 is 6354003810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 935, 677, 119, 239, 462
1. What is the LCM of 935, 677, 119, 239, 462?
Answer: LCM of 935, 677, 119, 239, 462 is 6354003810.
2. How to calculate the LCM of 935, 677, 119, 239, 462?
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, 677, 119, 239, 462.
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}.