LCM of 313, 238, 115, 763, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 238, 115, 763, 205 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 313, 238, 115, 763, 205. So, keep reading to learn more.
Given numbers are 313,238,115,763,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,238,115,763,205 is 38285073890.
Find LCM of 313,238,115,763,205 with Prime Factorization
| 5 | 313, 238, 115, 763, 205 |
| 7 | 313, 238, 23, 763, 41 |
| 313, 34, 23, 109, 41 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 313 x 34 x 23 x 109 x 41 = 38285073890
Therefore, the lowest common multiple of 313,238,115,763,205 is 38285073890.
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.
313 x 238 x 115 x 763 x 205 = 1339977586150
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.
313 : 1, 313
238 : 1, 2, 7, 14, 17, 34, 119, 238
115 : 1, 5, 23, 115
763 : 1, 7, 109, 763
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,238,115,763,205, is 1.
Now, the common factors can be found like this.
313:313
238:2x 7x 17
115:5x 23
763:7x 109
205:5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7 = 35
Therefore, the value for common factors is 35.
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 = 1339977586150/(1x35)
LCM = 1339977586150/35
LCM = 38285073890
Thus, we can understand that the LCM of 313,238,115,763,205 is 38285073890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 313, 238, 115, 763, 205
1. What is the LCM of 313, 238, 115, 763, 205?
Answer: LCM of 313, 238, 115, 763, 205 is 38285073890.
2. How to calculate the LCM of 313, 238, 115, 763, 205?
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 313, 238, 115, 763, 205.
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}.