LCM of 728, 687, 126, 186, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 728, 687, 126, 186, 676 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 728, 687, 126, 186, 676. So, keep reading to learn more.
Given numbers are 728,687,126,186,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,687,126,186,676 is 604664424.
Find LCM of 728,687,126,186,676 with Prime Factorization
| 2 | 728, 687, 126, 186, 676 |
| 2 | 364, 687, 63, 93, 338 |
| 3 | 182, 687, 63, 93, 169 |
| 7 | 182, 229, 21, 31, 169 |
| 13 | 26, 229, 3, 31, 169 |
| 2, 229, 3, 31, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 2 x 229 x 3 x 31 x 13 = 604664424
Therefore, the lowest common multiple of 728,687,126,186,676 is 604664424.
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.
728 x 687 x 126 x 186 x 676 = 7923522612096
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
687 : 1, 3, 229, 687
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
186 : 1, 2, 3, 6, 31, 62, 93, 186
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,687,126,186,676, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
687:3x 229
126:2x 3x 3x 7
186:2x 3x 31
676:2x 2x 13x 13
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 2x 3x 3x 7x 13 = 13104
Therefore, the value for common factors is 13104.
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 = 7923522612096/(1x13104)
LCM = 7923522612096/13104
LCM = 604664424
Thus, we can understand that the LCM of 728,687,126,186,676 is 604664424.
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FAQs on LCM of 728, 687, 126, 186, 676
1. What is the LCM of 728, 687, 126, 186, 676?
Answer: LCM of 728, 687, 126, 186, 676 is 604664424.
2. How to calculate the LCM of 728, 687, 126, 186, 676?
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 728, 687, 126, 186, 676.
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}.