LCM of 627, 831, 713, 578, 651
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 831, 713, 578, 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 627, 831, 713, 578, 651. So, keep reading to learn more.
Given numbers are 627,831,713,578,651
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,831,713,578,651 is 501028831842.
Find LCM of 627,831,713,578,651 with Prime Factorization
| 3 | 627, 831, 713, 578, 651 |
| 31 | 209, 277, 713, 578, 217 |
| 209, 277, 23, 578, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 31 x 209 x 277 x 23 x 578 x 7 = 501028831842
Therefore, the lowest common multiple of 627,831,713,578,651 is 501028831842.
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.
627 x 831 x 713 x 578 x 651 = 139787044083918
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
831 : 1, 3, 277, 831
713 : 1, 23, 31, 713
578 : 1, 2, 17, 34, 289, 578
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 627,831,713,578,651, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
831:3x 277
713:23x 31
578:2x 17x 17
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.
3x 3x 31 = 279
Therefore, the value for common factors is 279.
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 = 139787044083918/(1x279)
LCM = 139787044083918/279
LCM = 501028831842
Thus, we can understand that the LCM of 627,831,713,578,651 is 501028831842.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 627, 831, 713, 578, 651
1. What is the LCM of 627, 831, 713, 578, 651?
Answer: LCM of 627, 831, 713, 578, 651 is 501028831842.
2. How to calculate the LCM of 627, 831, 713, 578, 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 627, 831, 713, 578, 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}.