LCM of 238, 910, 310, 728, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 910, 310, 728, 961 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 238, 910, 310, 728, 961. So, keep reading to learn more.
Given numbers are 238,910,310,728,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,910,310,728,961 is 59466680.
Find LCM of 238,910,310,728,961 with Prime Factorization
| 2 | 238, 910, 310, 728, 961 |
| 5 | 119, 455, 155, 364, 961 |
| 7 | 119, 91, 31, 364, 961 |
| 13 | 17, 13, 31, 52, 961 |
| 31 | 17, 1, 31, 4, 961 |
| 17, 1, 1, 4, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 31 x 17 x 1 x 1 x 4 x 31 = 59466680
Therefore, the lowest common multiple of 238,910,310,728,961 is 59466680.
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.
238 x 910 x 310 x 728 x 961 = 46971541198400
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
310 : 1, 2, 5, 10, 31, 62, 155, 310
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,910,310,728,961, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
910:2x 5x 7x 13
310:2x 5x 31
728:2x 2x 2x 7x 13
961:31x 31
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 5x 7x 7x 13x 31 = 789880
Therefore, the value for common factors is 789880.
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 = 46971541198400/(1x789880)
LCM = 46971541198400/789880
LCM = 59466680
Thus, we can understand that the LCM of 238,910,310,728,961 is 59466680.
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FAQs on LCM of 238, 910, 310, 728, 961
1. What is the LCM of 238, 910, 310, 728, 961?
Answer: LCM of 238, 910, 310, 728, 961 is 59466680.
2. How to calculate the LCM of 238, 910, 310, 728, 961?
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 238, 910, 310, 728, 961.
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}.