LCM of 962, 172, 884, 178
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 172, 884, 178 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, 172, 884, 178. So, keep reading to learn more.
Given numbers are 962,172,884,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,172,884,178 is 125173516.
Find LCM of 962,172,884,178 with Prime Factorization
| 2 | 962, 172, 884, 178 |
| 2 | 481, 86, 442, 89 |
| 13 | 481, 43, 221, 89 |
| 37, 43, 17, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 37 x 43 x 17 x 89 = 125173516
Therefore, the lowest common multiple of 962,172,884,178 is 125173516.
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 172 x 884 x 178 = 26036091328
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
172 : 1, 2, 4, 43, 86, 172
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
178 : 1, 2, 89, 178
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,172,884,178, is 2.
Now, the common factors can be found like this.
962:2x 13x 37
172:2x 2x 43
884:2x 2x 13x 17
178:2x 89
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 13 = 104
Therefore, the value for common factors is 104.
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 = 26036091328/(2x104)
LCM = 26036091328/208
LCM = 125173516
Thus, we can understand that the LCM of 962,172,884,178 is 125173516.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 962, 172, 884, 178
1. What is the LCM of 962, 172, 884, 178?
Answer: LCM of 962, 172, 884, 178 is 125173516.
2. How to calculate the LCM of 962, 172, 884, 178?
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, 172, 884, 178.
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}.