Find the LCM of 169, 861, 692, 943 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 169, 861, 692, 943. So, keep reading to learn more.
Given numbers are 169,861,692,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,861,692,943 is 2315921244.
Find LCM of 169,861,692,943 with Prime Factorization
41 | 169, 861, 692, 943 |
169, 21, 692, 23 |
Multiply the prime numbers at the bottom and the left side.
41 x 169 x 21 x 692 x 23 = 2315921244
Therefore, the lowest common multiple of 169,861,692,943 is 2315921244.
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.
169 x 861 x 692 x 943 = 94952771004
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.
169 : 1, 13, 169
861 : 1, 3, 7, 21, 41, 123, 287, 861
692 : 1, 2, 4, 173, 346, 692
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,861,692,943, is 1.
Now, the common factors can be found like this.
169:13x 13
861:3x 7x 41
692:2x 2x 173
943:23x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41 = 41
Therefore, the value for common factors is 41.
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 = 94952771004/(1x41)
LCM = 94952771004/41
LCM = 2315921244
Thus, we can understand that the LCM of 169,861,692,943 is 2315921244.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 861, 692, 943?
Answer: LCM of 169, 861, 692, 943 is 2315921244.
2. How to calculate the LCM of 169, 861, 692, 943?
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 169, 861, 692, 943.
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}.