LCM of 397, 408, 251, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 408, 251, 285 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 397, 408, 251, 285. So, keep reading to learn more.
Given numbers are 397,408,251,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,408,251,285 is 3862317720.
Find LCM of 397,408,251,285 with Prime Factorization
| 3 | 397, 408, 251, 285 |
| 397, 136, 251, 95 |
Multiply the prime numbers at the bottom and the left side.
3 x 397 x 136 x 251 x 95 = 3862317720
Therefore, the lowest common multiple of 397,408,251,285 is 3862317720.
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.
397 x 408 x 251 x 285 = 11586953160
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.
397 : 1, 397
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
251 : 1, 251
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,408,251,285, is 1.
Now, the common factors can be found like this.
397:397
408:2x 2x 2x 3x 17
251:251
285:3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 11586953160/(1x3)
LCM = 11586953160/3
LCM = 3862317720
Thus, we can understand that the LCM of 397,408,251,285 is 3862317720.
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FAQs on LCM of 397, 408, 251, 285
1. What is the LCM of 397, 408, 251, 285?
Answer: LCM of 397, 408, 251, 285 is 3862317720.
2. How to calculate the LCM of 397, 408, 251, 285?
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 397, 408, 251, 285.
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}.