LCM of 930, 338, 250, 117, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 338, 250, 117, 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 930, 338, 250, 117, 961. So, keep reading to learn more.
Given numbers are 930,338,250,117,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,338,250,117,961 is 365420250.
Find LCM of 930,338,250,117,961 with Prime Factorization
| 2 | 930, 338, 250, 117, 961 |
| 3 | 465, 169, 125, 117, 961 |
| 5 | 155, 169, 125, 39, 961 |
| 13 | 31, 169, 25, 39, 961 |
| 31 | 31, 13, 25, 3, 961 |
| 1, 13, 25, 3, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 31 x 1 x 13 x 25 x 3 x 31 = 365420250
Therefore, the lowest common multiple of 930,338,250,117,961 is 365420250.
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.
930 x 338 x 250 x 117 x 961 = 8835861645000
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
338 : 1, 2, 13, 26, 169, 338
250 : 1, 2, 5, 10, 25, 50, 125, 250
117 : 1, 3, 9, 13, 39, 117
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,338,250,117,961, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
338:2x 13x 13
250:2x 5x 5x 5
117:3x 3x 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 3x 5x 13x 31 = 24180
Therefore, the value for common factors is 24180.
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 = 8835861645000/(1x24180)
LCM = 8835861645000/24180
LCM = 365420250
Thus, we can understand that the LCM of 930,338,250,117,961 is 365420250.
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FAQs on LCM of 930, 338, 250, 117, 961
1. What is the LCM of 930, 338, 250, 117, 961?
Answer: LCM of 930, 338, 250, 117, 961 is 365420250.
2. How to calculate the LCM of 930, 338, 250, 117, 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 930, 338, 250, 117, 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}.