Find the LCM of 959, 624, 195, 882, 949 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 959, 624, 195, 882, 949. So, keep reading to learn more.
Given numbers are 959,624,195,882,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,624,195,882,949 is 4586858640.
Find LCM of 959,624,195,882,949 with Prime Factorization
2 | 959, 624, 195, 882, 949 |
3 | 959, 312, 195, 441, 949 |
7 | 959, 104, 65, 147, 949 |
13 | 137, 104, 65, 21, 949 |
137, 8, 5, 21, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 137 x 8 x 5 x 21 x 73 = 4586858640
Therefore, the lowest common multiple of 959,624,195,882,949 is 4586858640.
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.
959 x 624 x 195 x 882 x 949 = 97672567880160
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.
959 : 1, 7, 137, 959
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
195 : 1, 3, 5, 13, 15, 39, 65, 195
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,624,195,882,949, is 1.
Now, the common factors can be found like this.
959:7x 137
624:2x 2x 2x 2x 3x 13
195:3x 5x 13
882:2x 3x 3x 7x 7
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 13x 13 = 21294
Therefore, the value for common factors is 21294.
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 = 97672567880160/(1x21294)
LCM = 97672567880160/21294
LCM = 4586858640
Thus, we can understand that the LCM of 959,624,195,882,949 is 4586858640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 959, 624, 195, 882, 949?
Answer: LCM of 959, 624, 195, 882, 949 is 4586858640.
2. How to calculate the LCM of 959, 624, 195, 882, 949?
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 959, 624, 195, 882, 949.
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}.