LCM of 167, 849, 127, 417, 283
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 849, 127, 417, 283 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 167, 849, 127, 417, 283. So, keep reading to learn more.
Given numbers are 167,849,127,417,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,849,127,417,283 is 2502895299.
Find LCM of 167,849,127,417,283 with Prime Factorization
| 3 | 167, 849, 127, 417, 283 |
| 283 | 167, 283, 127, 139, 283 |
| 167, 1, 127, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 283 x 167 x 1 x 127 x 139 x 1 = 2502895299
Therefore, the lowest common multiple of 167,849,127,417,283 is 2502895299.
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.
167 x 849 x 127 x 417 x 283 = 2124958108851
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.
167 : 1, 167
849 : 1, 3, 283, 849
127 : 1, 127
417 : 1, 3, 139, 417
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,849,127,417,283, is 1.
Now, the common factors can be found like this.
167:167
849:3x 283
127:127
417:3x 139
283:283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 283 = 849
Therefore, the value for common factors is 849.
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 = 2124958108851/(1x849)
LCM = 2124958108851/849
LCM = 2502895299
Thus, we can understand that the LCM of 167,849,127,417,283 is 2502895299.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 167, 849, 127, 417, 283
1. What is the LCM of 167, 849, 127, 417, 283?
Answer: LCM of 167, 849, 127, 417, 283 is 2502895299.
2. How to calculate the LCM of 167, 849, 127, 417, 283?
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 167, 849, 127, 417, 283.
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}.