LCM of 676, 231, 172, 567, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 231, 172, 567, 442 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, 231, 172, 567, 442. So, keep reading to learn more.
Given numbers are 676,231,172,567,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,231,172,567,442 is 3082050972.
Find LCM of 676,231,172,567,442 with Prime Factorization
| 2 | 676, 231, 172, 567, 442 |
| 2 | 338, 231, 86, 567, 221 |
| 3 | 169, 231, 43, 567, 221 |
| 7 | 169, 77, 43, 189, 221 |
| 13 | 169, 11, 43, 27, 221 |
| 13, 11, 43, 27, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 13 x 11 x 43 x 27 x 17 = 3082050972
Therefore, the lowest common multiple of 676,231,172,567,442 is 3082050972.
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 231 x 172 x 567 x 442 = 6731199322848
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
231 : 1, 3, 7, 11, 21, 33, 77, 231
172 : 1, 2, 4, 43, 86, 172
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,231,172,567,442, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
231:3x 7x 11
172:2x 2x 43
567:3x 3x 3x 3x 7
442:2x 13x 17
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 3x 7x 13 = 2184
Therefore, the value for common factors is 2184.
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 = 6731199322848/(1x2184)
LCM = 6731199322848/2184
LCM = 3082050972
Thus, we can understand that the LCM of 676,231,172,567,442 is 3082050972.
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FAQs on LCM of 676, 231, 172, 567, 442
1. What is the LCM of 676, 231, 172, 567, 442?
Answer: LCM of 676, 231, 172, 567, 442 is 3082050972.
2. How to calculate the LCM of 676, 231, 172, 567, 442?
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, 231, 172, 567, 442.
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}.