LCM of 486, 596, 168, 627, 651
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 596, 168, 627, 651 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 486, 596, 168, 627, 651. So, keep reading to learn more.
Given numbers are 486,596,168,627,651
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,596,168,627,651 is 13136768568.
Find LCM of 486,596,168,627,651 with Prime Factorization
| 2 | 486, 596, 168, 627, 651 |
| 2 | 243, 298, 84, 627, 651 |
| 3 | 243, 149, 42, 627, 651 |
| 7 | 81, 149, 14, 209, 217 |
| 81, 149, 2, 209, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 81 x 149 x 2 x 209 x 31 = 13136768568
Therefore, the lowest common multiple of 486,596,168,627,651 is 13136768568.
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.
486 x 596 x 168 x 627 x 651 = 19862794074816
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
596 : 1, 2, 4, 149, 298, 596
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
627 : 1, 3, 11, 19, 33, 57, 209, 627
651 : 1, 3, 7, 21, 31, 93, 217, 651
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,596,168,627,651, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
596:2x 2x 149
168:2x 2x 2x 3x 7
627:3x 11x 19
651:3x 7x 31
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 2x 3x 3x 3x 7 = 1512
Therefore, the value for common factors is 1512.
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 = 19862794074816/(1x1512)
LCM = 19862794074816/1512
LCM = 13136768568
Thus, we can understand that the LCM of 486,596,168,627,651 is 13136768568.
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FAQs on LCM of 486, 596, 168, 627, 651
1. What is the LCM of 486, 596, 168, 627, 651?
Answer: LCM of 486, 596, 168, 627, 651 is 13136768568.
2. How to calculate the LCM of 486, 596, 168, 627, 651?
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 486, 596, 168, 627, 651.
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}.