LCM of 634, 973, 548, 288, 343
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 973, 548, 288, 343 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 634, 973, 548, 288, 343. So, keep reading to learn more.
Given numbers are 634,973,548,288,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,973,548,288,343 is 596322556704.
Find LCM of 634,973,548,288,343 with Prime Factorization
| 2 | 634, 973, 548, 288, 343 |
| 2 | 317, 973, 274, 144, 343 |
| 7 | 317, 973, 137, 72, 343 |
| 317, 139, 137, 72, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 317 x 139 x 137 x 72 x 49 = 596322556704
Therefore, the lowest common multiple of 634,973,548,288,343 is 596322556704.
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.
634 x 973 x 548 x 288 x 343 = 33394063175424
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.
634 : 1, 2, 317, 634
973 : 1, 7, 139, 973
548 : 1, 2, 4, 137, 274, 548
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,973,548,288,343, is 1.
Now, the common factors can be found like this.
634:2x 317
973:7x 139
548:2x 2x 137
288:2x 2x 2x 2x 2x 3x 3
343:7x 7x 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 7 = 56
Therefore, the value for common factors is 56.
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 = 33394063175424/(1x56)
LCM = 33394063175424/56
LCM = 596322556704
Thus, we can understand that the LCM of 634,973,548,288,343 is 596322556704.
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FAQs on LCM of 634, 973, 548, 288, 343
1. What is the LCM of 634, 973, 548, 288, 343?
Answer: LCM of 634, 973, 548, 288, 343 is 596322556704.
2. How to calculate the LCM of 634, 973, 548, 288, 343?
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 634, 973, 548, 288, 343.
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}.