Find the LCM of 567, 629, 824, 726, 770 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, 629, 824, 726, 770. So, keep reading to learn more.
Given numbers are 567,629,824,726,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,629,824,726,770 is 177793668360.
Find LCM of 567,629,824,726,770 with Prime Factorization
2 | 567, 629, 824, 726, 770 |
3 | 567, 629, 412, 363, 385 |
7 | 189, 629, 412, 121, 385 |
11 | 27, 629, 412, 121, 55 |
27, 629, 412, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 27 x 629 x 412 x 11 x 5 = 177793668360
Therefore, the lowest common multiple of 567,629,824,726,770 is 177793668360.
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 629 x 824 x 726 x 770 = 164281349564640
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
629 : 1, 17, 37, 629
824 : 1, 2, 4, 8, 103, 206, 412, 824
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,629,824,726,770, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
629:17x 37
824:2x 2x 2x 103
726:2x 3x 11x 11
770:2x 5x 7x 11
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 3x 7x 11 = 924
Therefore, the value for common factors is 924.
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 = 164281349564640/(1x924)
LCM = 164281349564640/924
LCM = 177793668360
Thus, we can understand that the LCM of 567,629,824,726,770 is 177793668360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 629, 824, 726, 770?
Answer: LCM of 567, 629, 824, 726, 770 is 177793668360.
2. How to calculate the LCM of 567, 629, 824, 726, 770?
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, 629, 824, 726, 770.
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}.