LCM of 655, 178, 172, 934, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 178, 172, 934, 105 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 655, 178, 172, 934, 105. So, keep reading to learn more.
Given numbers are 655,178,172,934,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,178,172,934,105 is 98332239180.
Find LCM of 655,178,172,934,105 with Prime Factorization
| 2 | 655, 178, 172, 934, 105 |
| 5 | 655, 89, 86, 467, 105 |
| 131, 89, 86, 467, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 131 x 89 x 86 x 467 x 21 = 98332239180
Therefore, the lowest common multiple of 655,178,172,934,105 is 98332239180.
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.
655 x 178 x 172 x 934 x 105 = 1966644783600
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.
655 : 1, 5, 131, 655
178 : 1, 2, 89, 178
172 : 1, 2, 4, 43, 86, 172
934 : 1, 2, 467, 934
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,178,172,934,105, is 1.
Now, the common factors can be found like this.
655:5x 131
178:2x 89
172:2x 2x 43
934:2x 467
105:3x 5x 7
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 5 = 20
Therefore, the value for common factors is 20.
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 = 1966644783600/(1x20)
LCM = 1966644783600/20
LCM = 98332239180
Thus, we can understand that the LCM of 655,178,172,934,105 is 98332239180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 655, 178, 172, 934, 105
1. What is the LCM of 655, 178, 172, 934, 105?
Answer: LCM of 655, 178, 172, 934, 105 is 98332239180.
2. How to calculate the LCM of 655, 178, 172, 934, 105?
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 655, 178, 172, 934, 105.
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}.