LCM of 295, 675, 989, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 295, 675, 989, 161 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 295, 675, 989, 161. So, keep reading to learn more.
Given numbers are 295,675,989,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,675,989,161 is 275708475.
Find LCM of 295,675,989,161 with Prime Factorization
| 5 | 295, 675, 989, 161 |
| 23 | 59, 135, 989, 161 |
| 59, 135, 43, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 59 x 135 x 43 x 7 = 275708475
Therefore, the lowest common multiple of 295,675,989,161 is 275708475.
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.
295 x 675 x 989 x 161 = 31706474625
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.
295 : 1, 5, 59, 295
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
989 : 1, 23, 43, 989
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,675,989,161, is 1.
Now, the common factors can be found like this.
295:5x 59
675:3x 3x 3x 5x 5
989:23x 43
161:7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 31706474625/(1x115)
LCM = 31706474625/115
LCM = 275708475
Thus, we can understand that the LCM of 295,675,989,161 is 275708475.
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FAQs on LCM of 295, 675, 989, 161
1. What is the LCM of 295, 675, 989, 161?
Answer: LCM of 295, 675, 989, 161 is 275708475.
2. How to calculate the LCM of 295, 675, 989, 161?
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 295, 675, 989, 161.
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}.