LCM of 144, 728, 687, 436, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 728, 687, 436, 688 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 144, 728, 687, 436, 688. So, keep reading to learn more.
Given numbers are 144,728,687,436,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,728,687,436,688 is 14064824592.
Find LCM of 144,728,687,436,688 with Prime Factorization
| 2 | 144, 728, 687, 436, 688 |
| 2 | 72, 364, 687, 218, 344 |
| 2 | 36, 182, 687, 109, 172 |
| 2 | 18, 91, 687, 109, 86 |
| 3 | 9, 91, 687, 109, 43 |
| 3, 91, 229, 109, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 91 x 229 x 109 x 43 = 14064824592
Therefore, the lowest common multiple of 144,728,687,436,688 is 14064824592.
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.
144 x 728 x 687 x 436 x 688 = 21603570573312
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
687 : 1, 3, 229, 687
436 : 1, 2, 4, 109, 218, 436
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,728,687,436,688, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
728:2x 2x 2x 7x 13
687:3x 229
436:2x 2x 109
688:2x 2x 2x 2x 43
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 2x 2x 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 21603570573312/(1x1536)
LCM = 21603570573312/1536
LCM = 14064824592
Thus, we can understand that the LCM of 144,728,687,436,688 is 14064824592.
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FAQs on LCM of 144, 728, 687, 436, 688
1. What is the LCM of 144, 728, 687, 436, 688?
Answer: LCM of 144, 728, 687, 436, 688 is 14064824592.
2. How to calculate the LCM of 144, 728, 687, 436, 688?
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 144, 728, 687, 436, 688.
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}.