LCM of 303, 312, 962, 908, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 312, 962, 908, 959 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 303, 312, 962, 908, 959. So, keep reading to learn more.
Given numbers are 303,312,962,908,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,312,962,908,959 is 253817847192.
Find LCM of 303,312,962,908,959 with Prime Factorization
| 2 | 303, 312, 962, 908, 959 |
| 2 | 303, 156, 481, 454, 959 |
| 3 | 303, 78, 481, 227, 959 |
| 13 | 101, 26, 481, 227, 959 |
| 101, 2, 37, 227, 959 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 101 x 2 x 37 x 227 x 959 = 253817847192
Therefore, the lowest common multiple of 303,312,962,908,959 is 253817847192.
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.
303 x 312 x 962 x 908 x 959 = 79191168323904
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.
303 : 1, 3, 101, 303
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
962 : 1, 2, 13, 26, 37, 74, 481, 962
908 : 1, 2, 4, 227, 454, 908
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,312,962,908,959, is 1.
Now, the common factors can be found like this.
303:3x 101
312:2x 2x 2x 3x 13
962:2x 13x 37
908:2x 2x 227
959:7x 137
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 2x 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 79191168323904/(1x312)
LCM = 79191168323904/312
LCM = 253817847192
Thus, we can understand that the LCM of 303,312,962,908,959 is 253817847192.
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FAQs on LCM of 303, 312, 962, 908, 959
1. What is the LCM of 303, 312, 962, 908, 959?
Answer: LCM of 303, 312, 962, 908, 959 is 253817847192.
2. How to calculate the LCM of 303, 312, 962, 908, 959?
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 303, 312, 962, 908, 959.
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}.