LCM of 808, 404, 656, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 404, 656, 971 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 808, 404, 656, 971. So, keep reading to learn more.
Given numbers are 808,404,656,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,404,656,971 is 64334576.
Find LCM of 808,404,656,971 with Prime Factorization
| 2 | 808, 404, 656, 971 |
| 2 | 404, 202, 328, 971 |
| 2 | 101, 202, 164, 971 |
| 101 | 101, 101, 82, 971 |
| 1, 1, 82, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 101 x 1 x 1 x 82 x 971 = 64334576
Therefore, the lowest common multiple of 808,404,656,971 is 64334576.
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.
808 x 404 x 656 x 971 = 207929349632
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
404 : 1, 2, 4, 101, 202, 404
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,404,656,971, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
404:2x 2x 101
656:2x 2x 2x 2x 41
971:971
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 2x 101 = 3232
Therefore, the value for common factors is 3232.
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 = 207929349632/(1x3232)
LCM = 207929349632/3232
LCM = 64334576
Thus, we can understand that the LCM of 808,404,656,971 is 64334576.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 808, 404, 656, 971
1. What is the LCM of 808, 404, 656, 971?
Answer: LCM of 808, 404, 656, 971 is 64334576.
2. How to calculate the LCM of 808, 404, 656, 971?
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 808, 404, 656, 971.
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}.