LCM of 115, 294, 575, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 294, 575, 351 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 115, 294, 575, 351. So, keep reading to learn more.
Given numbers are 115,294,575,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,294,575,351 is 19778850.
Find LCM of 115,294,575,351 with Prime Factorization
| 3 | 115, 294, 575, 351 |
| 5 | 115, 98, 575, 117 |
| 23 | 23, 98, 115, 117 |
| 1, 98, 5, 117 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 1 x 98 x 5 x 117 = 19778850
Therefore, the lowest common multiple of 115,294,575,351 is 19778850.
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.
115 x 294 x 575 x 351 = 6823703250
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.
115 : 1, 5, 23, 115
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
575 : 1, 5, 23, 25, 115, 575
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,294,575,351, is 1.
Now, the common factors can be found like this.
115:5x 23
294:2x 3x 7x 7
575:5x 5x 23
351:3x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 23 = 345
Therefore, the value for common factors is 345.
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 = 6823703250/(1x345)
LCM = 6823703250/345
LCM = 19778850
Thus, we can understand that the LCM of 115,294,575,351 is 19778850.
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FAQs on LCM of 115, 294, 575, 351
1. What is the LCM of 115, 294, 575, 351?
Answer: LCM of 115, 294, 575, 351 is 19778850.
2. How to calculate the LCM of 115, 294, 575, 351?
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 115, 294, 575, 351.
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}.