LCM of 613, 298, 972, 486, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 613, 298, 972, 486, 171 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 613, 298, 972, 486, 171. So, keep reading to learn more.
Given numbers are 613,298,972,486,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 613,298,972,486,171 is 1686811716.
Find LCM of 613,298,972,486,171 with Prime Factorization
| 2 | 613, 298, 972, 486, 171 |
| 3 | 613, 149, 486, 243, 171 |
| 3 | 613, 149, 162, 81, 57 |
| 3 | 613, 149, 54, 27, 19 |
| 3 | 613, 149, 18, 9, 19 |
| 3 | 613, 149, 6, 3, 19 |
| 613, 149, 2, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 3 x 613 x 149 x 2 x 1 x 19 = 1686811716
Therefore, the lowest common multiple of 613,298,972,486,171 is 1686811716.
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.
613 x 298 x 972 x 486 x 171 = 14756228891568
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.
613 : 1, 613
298 : 1, 2, 149, 298
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,298,972,486,171, is 1.
Now, the common factors can be found like this.
613:613
298:2x 149
972:2x 2x 3x 3x 3x 3x 3
486:2x 3x 3x 3x 3x 3
171:3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 3x 3x 3x 3 = 8748
Therefore, the value for common factors is 8748.
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 = 14756228891568/(1x8748)
LCM = 14756228891568/8748
LCM = 1686811716
Thus, we can understand that the LCM of 613,298,972,486,171 is 1686811716.
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FAQs on LCM of 613, 298, 972, 486, 171
1. What is the LCM of 613, 298, 972, 486, 171?
Answer: LCM of 613, 298, 972, 486, 171 is 1686811716.
2. How to calculate the LCM of 613, 298, 972, 486, 171?
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 613, 298, 972, 486, 171.
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}.