Find the LCM of 867, 609, 870, 759 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 867, 609, 870, 759. So, keep reading to learn more.
Given numbers are 867,609,870,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,609,870,759 is 445282530.
Find LCM of 867,609,870,759 with Prime Factorization
3 | 867, 609, 870, 759 |
29 | 289, 203, 290, 253 |
289, 7, 10, 253 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 289 x 7 x 10 x 253 = 445282530
Therefore, the lowest common multiple of 867,609,870,759 is 445282530.
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.
867 x 609 x 870 x 759 = 348656220990
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.
867 : 1, 3, 17, 51, 289, 867
609 : 1, 3, 7, 21, 29, 87, 203, 609
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
759 : 1, 3, 11, 23, 33, 69, 253, 759
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,609,870,759, is 3.
Now, the common factors can be found like this.
867:3x 17x 17
609:3x 7x 29
870:2x 3x 5x 29
759:3x 11x 23
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 29 = 261
Therefore, the value for common factors is 261.
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 = 348656220990/(3x261)
LCM = 348656220990/783
LCM = 445282530
Thus, we can understand that the LCM of 867,609,870,759 is 445282530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 867, 609, 870, 759?
Answer: LCM of 867, 609, 870, 759 is 445282530.
2. How to calculate the LCM of 867, 609, 870, 759?
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 867, 609, 870, 759.
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}.