Find the LCM of 869, 678, 452, 137 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 869, 678, 452, 137. So, keep reading to learn more.
Given numbers are 869,678,452,137
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,678,452,137 is 161435868.
Find LCM of 869,678,452,137 with Prime Factorization
2 | 869, 678, 452, 137 |
113 | 869, 339, 226, 137 |
869, 3, 2, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 113 x 869 x 3 x 2 x 137 = 161435868
Therefore, the lowest common multiple of 869,678,452,137 is 161435868.
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.
869 x 678 x 452 x 137 = 36484506168
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.
869 : 1, 11, 79, 869
678 : 1, 2, 3, 6, 113, 226, 339, 678
452 : 1, 2, 4, 113, 226, 452
137 : 1, 137
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,678,452,137, is 1.
Now, the common factors can be found like this.
869:11x 79
678:2x 3x 113
452:2x 2x 113
137:137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 113 = 226
Therefore, the value for common factors is 226.
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 = 36484506168/(1x226)
LCM = 36484506168/226
LCM = 161435868
Thus, we can understand that the LCM of 869,678,452,137 is 161435868.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 869, 678, 452, 137?
Answer: LCM of 869, 678, 452, 137 is 161435868.
2. How to calculate the LCM of 869, 678, 452, 137?
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 869, 678, 452, 137.
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}.