LCM of 357, 567, 687, 291
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 567, 687, 291 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 357, 567, 687, 291. So, keep reading to learn more.
Given numbers are 357,567,687,291
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,567,687,291 is 214111107.
Find LCM of 357,567,687,291 with Prime Factorization
| 3 | 357, 567, 687, 291 |
| 7 | 119, 189, 229, 97 |
| 17, 27, 229, 97 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 27 x 229 x 97 = 214111107
Therefore, the lowest common multiple of 357,567,687,291 is 214111107.
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.
357 x 567 x 687 x 291 = 40466999223
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
687 : 1, 3, 229, 687
291 : 1, 3, 97, 291
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,567,687,291, is 3.
Now, the common factors can be found like this.
357:3x 7x 17
567:3x 3x 3x 3x 7
687:3x 229
291:3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7 = 63
Therefore, the value for common factors is 63.
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 = 40466999223/(3x63)
LCM = 40466999223/189
LCM = 214111107
Thus, we can understand that the LCM of 357,567,687,291 is 214111107.
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FAQs on LCM of 357, 567, 687, 291
1. What is the LCM of 357, 567, 687, 291?
Answer: LCM of 357, 567, 687, 291 is 214111107.
2. How to calculate the LCM of 357, 567, 687, 291?
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 357, 567, 687, 291.
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}.