LCM of 875, 551, 170, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 875, 551, 170, 361 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 875, 551, 170, 361. So, keep reading to learn more.
Given numbers are 875,551,170,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 875,551,170,361 is 311452750.
Find LCM of 875,551,170,361 with Prime Factorization
| 5 | 875, 551, 170, 361 |
| 19 | 175, 551, 34, 361 |
| 175, 29, 34, 19 |
Multiply the prime numbers at the bottom and the left side.
5 x 19 x 175 x 29 x 34 x 19 = 311452750
Therefore, the lowest common multiple of 875,551,170,361 is 311452750.
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.
875 x 551 x 170 x 361 = 29588011250
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.
875 : 1, 5, 7, 25, 35, 125, 175, 875
551 : 1, 19, 29, 551
170 : 1, 2, 5, 10, 17, 34, 85, 170
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,551,170,361, is 1.
Now, the common factors can be found like this.
875:5x 5x 5x 7
551:19x 29
170:2x 5x 17
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 19 = 95
Therefore, the value for common factors is 95.
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 = 29588011250/(1x95)
LCM = 29588011250/95
LCM = 311452750
Thus, we can understand that the LCM of 875,551,170,361 is 311452750.
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FAQs on LCM of 875, 551, 170, 361
1. What is the LCM of 875, 551, 170, 361?
Answer: LCM of 875, 551, 170, 361 is 311452750.
2. How to calculate the LCM of 875, 551, 170, 361?
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 875, 551, 170, 361.
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}.