LCM of 325, 565, 169, 255, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 325, 565, 169, 255, 175 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 325, 565, 169, 255, 175. So, keep reading to learn more.
Given numbers are 325,565,169,255,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 325,565,169,255,175 is 170440725.
Find LCM of 325,565,169,255,175 with Prime Factorization
| 5 | 325, 565, 169, 255, 175 |
| 5 | 65, 113, 169, 51, 35 |
| 13 | 13, 113, 169, 51, 7 |
| 1, 113, 13, 51, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 13 x 1 x 113 x 13 x 51 x 7 = 170440725
Therefore, the lowest common multiple of 325,565,169,255,175 is 170440725.
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.
325 x 565 x 169 x 255 x 175 = 1384830890625
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.
325 : 1, 5, 13, 25, 65, 325
565 : 1, 5, 113, 565
169 : 1, 13, 169
255 : 1, 3, 5, 15, 17, 51, 85, 255
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,565,169,255,175, is 1.
Now, the common factors can be found like this.
325:5x 5x 13
565:5x 113
169:13x 13
255:3x 5x 17
175:5x 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.
5x 5x 5x 5x 13 = 8125
Therefore, the value for common factors is 8125.
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 = 1384830890625/(1x8125)
LCM = 1384830890625/8125
LCM = 170440725
Thus, we can understand that the LCM of 325,565,169,255,175 is 170440725.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 325, 565, 169, 255, 175
1. What is the LCM of 325, 565, 169, 255, 175?
Answer: LCM of 325, 565, 169, 255, 175 is 170440725.
2. How to calculate the LCM of 325, 565, 169, 255, 175?
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 325, 565, 169, 255, 175.
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}.