LCM of 614, 679, 987, 307, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 679, 987, 307, 252 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 614, 679, 987, 307, 252. So, keep reading to learn more.
Given numbers are 614,679,987,307,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,679,987,307,252 is 352702476.
Find LCM of 614,679,987,307,252 with Prime Factorization
| 2 | 614, 679, 987, 307, 252 |
| 3 | 307, 679, 987, 307, 126 |
| 7 | 307, 679, 329, 307, 42 |
| 307 | 307, 97, 47, 307, 6 |
| 1, 97, 47, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 307 x 1 x 97 x 47 x 1 x 6 = 352702476
Therefore, the lowest common multiple of 614,679,987,307,252 is 352702476.
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.
614 x 679 x 987 x 307 x 252 = 31834220078808
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.
614 : 1, 2, 307, 614
679 : 1, 7, 97, 679
987 : 1, 3, 7, 21, 47, 141, 329, 987
307 : 1, 307
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,679,987,307,252, is 1.
Now, the common factors can be found like this.
614:2x 307
679:7x 97
987:3x 7x 47
307:307
252:2x 2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 7x 307 = 90258
Therefore, the value for common factors is 90258.
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 = 31834220078808/(1x90258)
LCM = 31834220078808/90258
LCM = 352702476
Thus, we can understand that the LCM of 614,679,987,307,252 is 352702476.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 614, 679, 987, 307, 252
1. What is the LCM of 614, 679, 987, 307, 252?
Answer: LCM of 614, 679, 987, 307, 252 is 352702476.
2. How to calculate the LCM of 614, 679, 987, 307, 252?
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 614, 679, 987, 307, 252.
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}.