LCM of 962, 194, 953, 410, 164
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 194, 953, 410, 164 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, 194, 953, 410, 164. So, keep reading to learn more.
Given numbers are 962,194,953,410,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,194,953,410,164 is 36460579220.
Find LCM of 962,194,953,410,164 with Prime Factorization
| 2 | 962, 194, 953, 410, 164 |
| 41 | 481, 97, 953, 205, 82 |
| 481, 97, 953, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 41 x 481 x 97 x 953 x 5 x 2 = 36460579220
Therefore, the lowest common multiple of 962,194,953,410,164 is 36460579220.
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 194 x 953 x 410 x 164 = 11959069984160
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
194 : 1, 2, 97, 194
953 : 1, 953
410 : 1, 2, 5, 10, 41, 82, 205, 410
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,194,953,410,164, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
194:2x 97
953:953
410:2x 5x 41
164:2x 2x 41
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 2x 41 = 328
Therefore, the value for common factors is 328.
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 = 11959069984160/(1x328)
LCM = 11959069984160/328
LCM = 36460579220
Thus, we can understand that the LCM of 962,194,953,410,164 is 36460579220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 962, 194, 953, 410, 164
1. What is the LCM of 962, 194, 953, 410, 164?
Answer: LCM of 962, 194, 953, 410, 164 is 36460579220.
2. How to calculate the LCM of 962, 194, 953, 410, 164?
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, 194, 953, 410, 164.
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}.