LCM of 658, 744, 579, 987, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 744, 579, 987, 614 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 658, 744, 579, 987, 614. So, keep reading to learn more.
Given numbers are 658,744,579,987,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,744,579,987,614 is 14503222776.
Find LCM of 658,744,579,987,614 with Prime Factorization
| 2 | 658, 744, 579, 987, 614 |
| 3 | 329, 372, 579, 987, 307 |
| 7 | 329, 124, 193, 329, 307 |
| 47 | 47, 124, 193, 47, 307 |
| 1, 124, 193, 1, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 47 x 1 x 124 x 193 x 1 x 307 = 14503222776
Therefore, the lowest common multiple of 658,744,579,987,614 is 14503222776.
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.
658 x 744 x 579 x 987 x 614 = 171776170558944
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
579 : 1, 3, 193, 579
987 : 1, 3, 7, 21, 47, 141, 329, 987
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,744,579,987,614, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
744:2x 2x 2x 3x 31
579:3x 193
987:3x 7x 47
614:2x 307
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 7x 47 = 11844
Therefore, the value for common factors is 11844.
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 = 171776170558944/(1x11844)
LCM = 171776170558944/11844
LCM = 14503222776
Thus, we can understand that the LCM of 658,744,579,987,614 is 14503222776.
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FAQs on LCM of 658, 744, 579, 987, 614
1. What is the LCM of 658, 744, 579, 987, 614?
Answer: LCM of 658, 744, 579, 987, 614 is 14503222776.
2. How to calculate the LCM of 658, 744, 579, 987, 614?
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 658, 744, 579, 987, 614.
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}.