Find the LCM of 949, 217, 559, 430 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 949, 217, 559, 430. So, keep reading to learn more.
Given numbers are 949,217,559,430
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,217,559,430 is 88551190.
Find LCM of 949,217,559,430 with Prime Factorization
13 | 949, 217, 559, 430 |
43 | 73, 217, 43, 430 |
73, 217, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
13 x 43 x 73 x 217 x 1 x 10 = 88551190
Therefore, the lowest common multiple of 949,217,559,430 is 88551190.
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.
949 x 217 x 559 x 430 = 49500115210
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.
949 : 1, 13, 73, 949
217 : 1, 7, 31, 217
559 : 1, 13, 43, 559
430 : 1, 2, 5, 10, 43, 86, 215, 430
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,217,559,430, is 1.
Now, the common factors can be found like this.
949:13x 73
217:7x 31
559:13x 43
430:2x 5x 43
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 = 49500115210/(1x559)
LCM = 49500115210/559
LCM = 88551190
Thus, we can understand that the LCM of 949,217,559,430 is 88551190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 949, 217, 559, 430?
Answer: LCM of 949, 217, 559, 430 is 88551190.
2. How to calculate the LCM of 949, 217, 559, 430?
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 949, 217, 559, 430.
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}.