Find the LCM of 567, 189, 765, 845 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, 189, 765, 845. So, keep reading to learn more.
Given numbers are 567,189,765,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,189,765,845 is 8144955.
Find LCM of 567,189,765,845 with Prime Factorization
3 | 567, 189, 765, 845 |
3 | 189, 63, 255, 845 |
3 | 21, 63, 85, 845 |
5 | 7, 21, 85, 845 |
7 | 7, 21, 17, 169 |
1, 3, 17, 169 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 1 x 3 x 17 x 169 = 8144955
Therefore, the lowest common multiple of 567,189,765,845 is 8144955.
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 189 x 765 x 845 = 69272842275
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
189 : 1, 3, 7, 9, 21, 27, 63, 189
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,189,765,845, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
189:3x 3x 3x 7
765:3x 3x 5x 17
845:5x 13x 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 3x 5x 7 = 8505
Therefore, the value for common factors is 8505.
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 = 69272842275/(1x8505)
LCM = 69272842275/8505
LCM = 8144955
Thus, we can understand that the LCM of 567,189,765,845 is 8144955.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 189, 765, 845?
Answer: LCM of 567, 189, 765, 845 is 8144955.
2. How to calculate the LCM of 567, 189, 765, 845?
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, 189, 765, 845.
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}.