LCM of 567, 207, 345, 537, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 207, 345, 537, 975 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, 207, 345, 537, 975. So, keep reading to learn more.
Given numbers are 567,207,345,537,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,207,345,537,975 is 758660175.
Find LCM of 567,207,345,537,975 with Prime Factorization
| 3 | 567, 207, 345, 537, 975 |
| 3 | 189, 69, 115, 179, 325 |
| 5 | 63, 23, 115, 179, 325 |
| 23 | 63, 23, 23, 179, 65 |
| 63, 1, 1, 179, 65 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 23 x 63 x 1 x 1 x 179 x 65 = 758660175
Therefore, the lowest common multiple of 567,207,345,537,975 is 758660175.
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 207 x 345 x 537 x 975 = 21200758590375
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
207 : 1, 3, 9, 23, 69, 207
345 : 1, 3, 5, 15, 23, 69, 115, 345
537 : 1, 3, 179, 537
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,207,345,537,975, is 3.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
207:3x 3x 23
345:3x 5x 23
537:3x 179
975:3x 5x 5x 13
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 3x 3x 5x 23 = 9315
Therefore, the value for common factors is 9315.
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 = 21200758590375/(3x9315)
LCM = 21200758590375/27945
LCM = 758660175
Thus, we can understand that the LCM of 567,207,345,537,975 is 758660175.
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FAQs on LCM of 567, 207, 345, 537, 975
1. What is the LCM of 567, 207, 345, 537, 975?
Answer: LCM of 567, 207, 345, 537, 975 is 758660175.
2. How to calculate the LCM of 567, 207, 345, 537, 975?
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, 207, 345, 537, 975.
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}.