LCM of 688, 171, 108, 386, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 171, 108, 386, 504 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 688, 171, 108, 386, 504. So, keep reading to learn more.
Given numbers are 688,171,108,386,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,171,108,386,504 is 476827344.
Find LCM of 688,171,108,386,504 with Prime Factorization
| 2 | 688, 171, 108, 386, 504 |
| 2 | 344, 171, 54, 193, 252 |
| 2 | 172, 171, 27, 193, 126 |
| 3 | 86, 171, 27, 193, 63 |
| 3 | 86, 57, 9, 193, 21 |
| 86, 19, 3, 193, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 86 x 19 x 3 x 193 x 7 = 476827344
Therefore, the lowest common multiple of 688,171,108,386,504 is 476827344.
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.
688 x 171 x 108 x 386 x 504 = 2471872951296
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
171 : 1, 3, 9, 19, 57, 171
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
386 : 1, 2, 193, 386
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,171,108,386,504, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
171:3x 3x 19
108:2x 2x 3x 3x 3
386:2x 193
504:2x 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 2x 2x 2x 2x 2x 3x 3x 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 2471872951296/(1x5184)
LCM = 2471872951296/5184
LCM = 476827344
Thus, we can understand that the LCM of 688,171,108,386,504 is 476827344.
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FAQs on LCM of 688, 171, 108, 386, 504
1. What is the LCM of 688, 171, 108, 386, 504?
Answer: LCM of 688, 171, 108, 386, 504 is 476827344.
2. How to calculate the LCM of 688, 171, 108, 386, 504?
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 688, 171, 108, 386, 504.
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}.