LCM of 935, 955, 306, 351, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 955, 306, 351, 612 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, 955, 306, 351, 612. So, keep reading to learn more.
Given numbers are 935,955,306,351,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,955,306,351,612 is 250733340.
Find LCM of 935,955,306,351,612 with Prime Factorization
| 2 | 935, 955, 306, 351, 612 |
| 3 | 935, 955, 153, 351, 306 |
| 3 | 935, 955, 51, 117, 102 |
| 5 | 935, 955, 17, 39, 34 |
| 17 | 187, 191, 17, 39, 34 |
| 11, 191, 1, 39, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 11 x 191 x 1 x 39 x 2 = 250733340
Therefore, the lowest common multiple of 935,955,306,351,612 is 250733340.
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 955 x 306 x 351 x 612 = 58694167560600
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
955 : 1, 5, 191, 955
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
351 : 1, 3, 9, 13, 27, 39, 117, 351
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,955,306,351,612, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
955:5x 191
306:2x 3x 3x 17
351:3x 3x 3x 13
612:2x 2x 3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5x 17x 17 = 234090
Therefore, the value for common factors is 234090.
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 = 58694167560600/(1x234090)
LCM = 58694167560600/234090
LCM = 250733340
Thus, we can understand that the LCM of 935,955,306,351,612 is 250733340.
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FAQs on LCM of 935, 955, 306, 351, 612
1. What is the LCM of 935, 955, 306, 351, 612?
Answer: LCM of 935, 955, 306, 351, 612 is 250733340.
2. How to calculate the LCM of 935, 955, 306, 351, 612?
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, 955, 306, 351, 612.
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}.