LCM of 527, 646, 499, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 646, 499, 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 527, 646, 499, 688. So, keep reading to learn more.
Given numbers are 527,646,499,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,646,499,688 is 3437583056.
Find LCM of 527,646,499,688 with Prime Factorization
| 2 | 527, 646, 499, 688 |
| 17 | 527, 323, 499, 344 |
| 31, 19, 499, 344 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 31 x 19 x 499 x 344 = 3437583056
Therefore, the lowest common multiple of 527,646,499,688 is 3437583056.
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.
527 x 646 x 499 x 688 = 116877823904
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.
527 : 1, 17, 31, 527
646 : 1, 2, 17, 19, 34, 38, 323, 646
499 : 1, 499
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 527,646,499,688, is 1.
Now, the common factors can be found like this.
527:17x 31
646:2x 17x 19
499:499
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 17 = 34
Therefore, the value for common factors is 34.
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 = 116877823904/(1x34)
LCM = 116877823904/34
LCM = 3437583056
Thus, we can understand that the LCM of 527,646,499,688 is 3437583056.
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FAQs on LCM of 527, 646, 499, 688
1. What is the LCM of 527, 646, 499, 688?
Answer: LCM of 527, 646, 499, 688 is 3437583056.
2. How to calculate the LCM of 527, 646, 499, 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 527, 646, 499, 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}.