Find the LCM of 229, 559, 559, 374 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, 559, 559, 374. So, keep reading to learn more.
Given numbers are 229,559,559,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,559,559,374 is 47876114.
Find LCM of 229,559,559,374 with Prime Factorization
13 | 229, 559, 559, 374 |
43 | 229, 43, 43, 374 |
229, 1, 1, 374 |
Multiply the prime numbers at the bottom and the left side.
13 x 43 x 229 x 1 x 1 x 374 = 47876114
Therefore, the lowest common multiple of 229,559,559,374 is 47876114.
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 559 x 559 x 374 = 26762747726
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
559 : 1, 13, 43, 559
559 : 1, 13, 43, 559
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,559,559,374, is 1.
Now, the common factors can be found like this.
229:229
559:13x 43
559:13x 43
374:2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 43 = 559
Therefore, the value for common factors is 559.
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 = 26762747726/(1x559)
LCM = 26762747726/559
LCM = 47876114
Thus, we can understand that the LCM of 229,559,559,374 is 47876114.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 229, 559, 559, 374?
Answer: LCM of 229, 559, 559, 374 is 47876114.
2. How to calculate the LCM of 229, 559, 559, 374?
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, 559, 559, 374.
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}.