LCM of 962, 162, 339, 962, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 162, 339, 962, 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 962, 162, 339, 962, 949. So, keep reading to learn more.
Given numbers are 962,162,339,962,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,162,339,962,949 is 642778578.
Find LCM of 962,162,339,962,949 with Prime Factorization
| 2 | 962, 162, 339, 962, 949 |
| 3 | 481, 81, 339, 481, 949 |
| 13 | 481, 27, 113, 481, 949 |
| 37 | 37, 27, 113, 37, 73 |
| 1, 27, 113, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 37 x 1 x 27 x 113 x 1 x 73 = 642778578
Therefore, the lowest common multiple of 962,162,339,962,949 is 642778578.
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.
962 x 162 x 339 x 962 x 949 = 48231533378808
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
339 : 1, 3, 113, 339
962 : 1, 2, 13, 26, 37, 74, 481, 962
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,162,339,962,949, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
162:2x 3x 3x 3x 3
339:3x 113
962:2x 13x 37
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 2x 3x 13x 13x 37 = 75036
Therefore, the value for common factors is 75036.
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 = 48231533378808/(1x75036)
LCM = 48231533378808/75036
LCM = 642778578
Thus, we can understand that the LCM of 962,162,339,962,949 is 642778578.
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FAQs on LCM of 962, 162, 339, 962, 949
1. What is the LCM of 962, 162, 339, 962, 949?
Answer: LCM of 962, 162, 339, 962, 949 is 642778578.
2. How to calculate the LCM of 962, 162, 339, 962, 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 962, 162, 339, 962, 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}.