LCM of 173, 187, 925, 146, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 173, 187, 925, 146, 420 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 173, 187, 925, 146, 420. So, keep reading to learn more.
Given numbers are 173,187,925,146,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 173,187,925,146,420 is 183498107100.
Find LCM of 173,187,925,146,420 with Prime Factorization
| 2 | 173, 187, 925, 146, 420 |
| 5 | 173, 187, 925, 73, 210 |
| 173, 187, 185, 73, 42 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 173 x 187 x 185 x 73 x 42 = 183498107100
Therefore, the lowest common multiple of 173,187,925,146,420 is 183498107100.
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.
173 x 187 x 925 x 146 x 420 = 1834981071000
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.
173 : 1, 173
187 : 1, 11, 17, 187
925 : 1, 5, 25, 37, 185, 925
146 : 1, 2, 73, 146
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,187,925,146,420, is 1.
Now, the common factors can be found like this.
173:173
187:11x 17
925:5x 5x 37
146:2x 73
420:2x 2x 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 5 = 10
Therefore, the value for common factors is 10.
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 = 1834981071000/(1x10)
LCM = 1834981071000/10
LCM = 183498107100
Thus, we can understand that the LCM of 173,187,925,146,420 is 183498107100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 173, 187, 925, 146, 420
1. What is the LCM of 173, 187, 925, 146, 420?
Answer: LCM of 173, 187, 925, 146, 420 is 183498107100.
2. How to calculate the LCM of 173, 187, 925, 146, 420?
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 173, 187, 925, 146, 420.
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}.