LCM of 676, 456, 404, 202, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 456, 404, 202, 231 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 676, 456, 404, 202, 231. So, keep reading to learn more.
Given numbers are 676,456,404,202,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,456,404,202,231 is 599326728.
Find LCM of 676,456,404,202,231 with Prime Factorization
| 2 | 676, 456, 404, 202, 231 |
| 2 | 338, 228, 202, 101, 231 |
| 3 | 169, 114, 101, 101, 231 |
| 101 | 169, 38, 101, 101, 77 |
| 169, 38, 1, 1, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 101 x 169 x 38 x 1 x 1 x 77 = 599326728
Therefore, the lowest common multiple of 676,456,404,202,231 is 599326728.
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.
676 x 456 x 404 x 202 x 231 = 5811071954688
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
404 : 1, 2, 4, 101, 202, 404
202 : 1, 2, 101, 202
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,456,404,202,231, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
456:2x 2x 2x 3x 19
404:2x 2x 101
202:2x 101
231:3x 7x 11
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 3x 101 = 9696
Therefore, the value for common factors is 9696.
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 = 5811071954688/(1x9696)
LCM = 5811071954688/9696
LCM = 599326728
Thus, we can understand that the LCM of 676,456,404,202,231 is 599326728.
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FAQs on LCM of 676, 456, 404, 202, 231
1. What is the LCM of 676, 456, 404, 202, 231?
Answer: LCM of 676, 456, 404, 202, 231 is 599326728.
2. How to calculate the LCM of 676, 456, 404, 202, 231?
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 676, 456, 404, 202, 231.
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}.