Find the LCM of 805, 161, 861, 657, 875 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 805, 161, 861, 657, 875. So, keep reading to learn more.
Given numbers are 805,161,861,657,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,161,861,657,875 is 542107125.
Find LCM of 805,161,861,657,875 with Prime Factorization
3 | 805, 161, 861, 657, 875 |
5 | 805, 161, 287, 219, 875 |
7 | 161, 161, 287, 219, 175 |
23 | 23, 23, 41, 219, 25 |
1, 1, 41, 219, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 23 x 1 x 1 x 41 x 219 x 25 = 542107125
Therefore, the lowest common multiple of 805,161,861,657,875 is 542107125.
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.
805 x 161 x 861 x 657 x 875 = 64150246636875
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
161 : 1, 7, 23, 161
861 : 1, 3, 7, 21, 41, 123, 287, 861
657 : 1, 3, 9, 73, 219, 657
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,161,861,657,875, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
161:7x 23
861:3x 7x 41
657:3x 3x 73
875:5x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 7x 7x 23 = 118335
Therefore, the value for common factors is 118335.
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 = 64150246636875/(1x118335)
LCM = 64150246636875/118335
LCM = 542107125
Thus, we can understand that the LCM of 805,161,861,657,875 is 542107125.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 805, 161, 861, 657, 875?
Answer: LCM of 805, 161, 861, 657, 875 is 542107125.
2. How to calculate the LCM of 805, 161, 861, 657, 875?
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 805, 161, 861, 657, 875.
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}.