LCM of 567, 913, 214, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 913, 214, 345 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 567, 913, 214, 345. So, keep reading to learn more.
Given numbers are 567,913,214,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,913,214,345 is 12739883310.
Find LCM of 567,913,214,345 with Prime Factorization
| 3 | 567, 913, 214, 345 |
| 189, 913, 214, 115 |
Multiply the prime numbers at the bottom and the left side.
3 x 189 x 913 x 214 x 115 = 12739883310
Therefore, the lowest common multiple of 567,913,214,345 is 12739883310.
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.
567 x 913 x 214 x 345 = 38219649930
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
913 : 1, 11, 83, 913
214 : 1, 2, 107, 214
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,913,214,345, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
913:11x 83
214:2x 107
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 38219649930/(1x3)
LCM = 38219649930/3
LCM = 12739883310
Thus, we can understand that the LCM of 567,913,214,345 is 12739883310.
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FAQs on LCM of 567, 913, 214, 345
1. What is the LCM of 567, 913, 214, 345?
Answer: LCM of 567, 913, 214, 345 is 12739883310.
2. How to calculate the LCM of 567, 913, 214, 345?
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 567, 913, 214, 345.
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}.