LCM of 281, 374, 310, 926, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 281, 374, 310, 926, 115 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 281, 374, 310, 926, 115. So, keep reading to learn more.
Given numbers are 281,374,310,926,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,374,310,926,115 is 173467630930.
Find LCM of 281,374,310,926,115 with Prime Factorization
| 2 | 281, 374, 310, 926, 115 |
| 5 | 281, 187, 155, 463, 115 |
| 281, 187, 31, 463, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 281 x 187 x 31 x 463 x 23 = 173467630930
Therefore, the lowest common multiple of 281,374,310,926,115 is 173467630930.
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.
281 x 374 x 310 x 926 x 115 = 3469352618600
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.
281 : 1, 281
374 : 1, 2, 11, 17, 22, 34, 187, 374
310 : 1, 2, 5, 10, 31, 62, 155, 310
926 : 1, 2, 463, 926
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,374,310,926,115, is 1.
Now, the common factors can be found like this.
281:281
374:2x 11x 17
310:2x 5x 31
926:2x 463
115:5x 23
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 5 = 20
Therefore, the value for common factors is 20.
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 = 3469352618600/(1x20)
LCM = 3469352618600/20
LCM = 173467630930
Thus, we can understand that the LCM of 281,374,310,926,115 is 173467630930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 281, 374, 310, 926, 115
1. What is the LCM of 281, 374, 310, 926, 115?
Answer: LCM of 281, 374, 310, 926, 115 is 173467630930.
2. How to calculate the LCM of 281, 374, 310, 926, 115?
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 281, 374, 310, 926, 115.
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}.