LCM of 935, 115, 869, 612, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 115, 869, 612, 145 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, 115, 869, 612, 145. So, keep reading to learn more.
Given numbers are 935,115,869,612,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,115,869,612,145 is 1773646380.
Find LCM of 935,115,869,612,145 with Prime Factorization
| 5 | 935, 115, 869, 612, 145 |
| 11 | 187, 23, 869, 612, 29 |
| 17 | 17, 23, 79, 612, 29 |
| 1, 23, 79, 36, 29 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 17 x 1 x 23 x 79 x 36 x 29 = 1773646380
Therefore, the lowest common multiple of 935,115,869,612,145 is 1773646380.
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 115 x 869 x 612 x 145 = 8291796826500
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
115 : 1, 5, 23, 115
869 : 1, 11, 79, 869
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,115,869,612,145, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
115:5x 23
869:11x 79
612:2x 2x 3x 3x 17
145:5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 11x 17 = 4675
Therefore, the value for common factors is 4675.
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 = 8291796826500/(1x4675)
LCM = 8291796826500/4675
LCM = 1773646380
Thus, we can understand that the LCM of 935,115,869,612,145 is 1773646380.
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FAQs on LCM of 935, 115, 869, 612, 145
1. What is the LCM of 935, 115, 869, 612, 145?
Answer: LCM of 935, 115, 869, 612, 145 is 1773646380.
2. How to calculate the LCM of 935, 115, 869, 612, 145?
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, 115, 869, 612, 145.
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}.