LCM of 687, 253, 713, 124
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 253, 713, 124 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 687, 253, 713, 124. So, keep reading to learn more.
Given numbers are 687,253,713,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,253,713,124 is 21552564.
Find LCM of 687,253,713,124 with Prime Factorization
| 23 | 687, 253, 713, 124 |
| 31 | 687, 11, 31, 124 |
| 687, 11, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
23 x 31 x 687 x 11 x 1 x 4 = 21552564
Therefore, the lowest common multiple of 687,253,713,124 is 21552564.
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.
687 x 253 x 713 x 124 = 15366978132
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.
687 : 1, 3, 229, 687
253 : 1, 11, 23, 253
713 : 1, 23, 31, 713
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,253,713,124, is 1.
Now, the common factors can be found like this.
687:3x 229
253:11x 23
713:23x 31
124:2x 2x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 31 = 713
Therefore, the value for common factors is 713.
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 = 15366978132/(1x713)
LCM = 15366978132/713
LCM = 21552564
Thus, we can understand that the LCM of 687,253,713,124 is 21552564.
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FAQs on LCM of 687, 253, 713, 124
1. What is the LCM of 687, 253, 713, 124?
Answer: LCM of 687, 253, 713, 124 is 21552564.
2. How to calculate the LCM of 687, 253, 713, 124?
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 687, 253, 713, 124.
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}.