LCM of 404, 948, 639, 680, 395
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 404, 948, 639, 680, 395 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 404, 948, 639, 680, 395. So, keep reading to learn more.
Given numbers are 404,948,639,680,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,948,639,680,395 is 3467035080.
Find LCM of 404,948,639,680,395 with Prime Factorization
| 2 | 404, 948, 639, 680, 395 |
| 2 | 202, 474, 639, 340, 395 |
| 3 | 101, 237, 639, 170, 395 |
| 5 | 101, 79, 213, 170, 395 |
| 79 | 101, 79, 213, 34, 79 |
| 101, 1, 213, 34, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 79 x 101 x 1 x 213 x 34 x 1 = 3467035080
Therefore, the lowest common multiple of 404,948,639,680,395 is 3467035080.
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.
404 x 948 x 639 x 680 x 395 = 65734985116800
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.
404 : 1, 2, 4, 101, 202, 404
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
639 : 1, 3, 9, 71, 213, 639
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,948,639,680,395, is 1.
Now, the common factors can be found like this.
404:2x 2x 101
948:2x 2x 3x 79
639:3x 3x 71
680:2x 2x 2x 5x 17
395:5x 79
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 2x 2x 3x 5x 79 = 18960
Therefore, the value for common factors is 18960.
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 = 65734985116800/(1x18960)
LCM = 65734985116800/18960
LCM = 3467035080
Thus, we can understand that the LCM of 404,948,639,680,395 is 3467035080.
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FAQs on LCM of 404, 948, 639, 680, 395
1. What is the LCM of 404, 948, 639, 680, 395?
Answer: LCM of 404, 948, 639, 680, 395 is 3467035080.
2. How to calculate the LCM of 404, 948, 639, 680, 395?
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 404, 948, 639, 680, 395.
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}.