Find the LCM of 161, 676, 754, 325 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 161, 676, 754, 325. So, keep reading to learn more.
Given numbers are 161,676,754,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,676,754,325 is 78906100.
Find LCM of 161,676,754,325 with Prime Factorization
2 | 161, 676, 754, 325 |
13 | 161, 338, 377, 325 |
161, 26, 29, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 161 x 26 x 29 x 25 = 78906100
Therefore, the lowest common multiple of 161,676,754,325 is 78906100.
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.
161 x 676 x 754 x 325 = 26670261800
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.
161 : 1, 7, 23, 161
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
754 : 1, 2, 13, 26, 29, 58, 377, 754
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,676,754,325, is 1.
Now, the common factors can be found like this.
161:7x 23
676:2x 2x 13x 13
754:2x 13x 29
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 26670261800/(1x338)
LCM = 26670261800/338
LCM = 78906100
Thus, we can understand that the LCM of 161,676,754,325 is 78906100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 161, 676, 754, 325?
Answer: LCM of 161, 676, 754, 325 is 78906100.
2. How to calculate the LCM of 161, 676, 754, 325?
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 161, 676, 754, 325.
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}.