Find the LCM of 229, 169, 159, 676 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 229, 169, 159, 676. So, keep reading to learn more.
Given numbers are 229,169,159,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,169,159,676 is 24613836.
Find LCM of 229,169,159,676 with Prime Factorization
13 | 229, 169, 159, 676 |
13 | 229, 13, 159, 52 |
229, 1, 159, 4 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 229 x 1 x 159 x 4 = 24613836
Therefore, the lowest common multiple of 229,169,159,676 is 24613836.
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.
229 x 169 x 159 x 676 = 4159738284
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.
229 : 1, 229
169 : 1, 13, 169
159 : 1, 3, 53, 159
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,169,159,676, is 1.
Now, the common factors can be found like this.
229:229
169:13x 13
159:3x 53
676:2x 2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 4159738284/(1x169)
LCM = 4159738284/169
LCM = 24613836
Thus, we can understand that the LCM of 229,169,159,676 is 24613836.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 229, 169, 159, 676?
Answer: LCM of 229, 169, 159, 676 is 24613836.
2. How to calculate the LCM of 229, 169, 159, 676?
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 229, 169, 159, 676.
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}.