LCM of 395, 108, 414, 458
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 395, 108, 414, 458 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 395, 108, 414, 458. So, keep reading to learn more.
Given numbers are 395,108,414,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,108,414,458 is 224690220.
Find LCM of 395,108,414,458 with Prime Factorization
| 2 | 395, 108, 414, 458 |
| 3 | 395, 54, 207, 229 |
| 3 | 395, 18, 69, 229 |
| 395, 6, 23, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 395 x 6 x 23 x 229 = 224690220
Therefore, the lowest common multiple of 395,108,414,458 is 224690220.
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.
395 x 108 x 414 x 458 = 8088847920
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.
395 : 1, 5, 79, 395
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,108,414,458, is 1.
Now, the common factors can be found like this.
395:5x 79
108:2x 2x 3x 3x 3
414:2x 3x 3x 23
458:2x 229
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 3 = 36
Therefore, the value for common factors is 36.
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 = 8088847920/(1x36)
LCM = 8088847920/36
LCM = 224690220
Thus, we can understand that the LCM of 395,108,414,458 is 224690220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 395, 108, 414, 458
1. What is the LCM of 395, 108, 414, 458?
Answer: LCM of 395, 108, 414, 458 is 224690220.
2. How to calculate the LCM of 395, 108, 414, 458?
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 395, 108, 414, 458.
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}.