LCM of 634, 404, 274, 947, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 404, 274, 947, 548 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, 404, 274, 947, 548. So, keep reading to learn more.
Given numbers are 634,404,274,947,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,404,274,947,548 is 16615414252.
Find LCM of 634,404,274,947,548 with Prime Factorization
| 2 | 634, 404, 274, 947, 548 |
| 2 | 317, 202, 137, 947, 274 |
| 137 | 317, 101, 137, 947, 137 |
| 317, 101, 1, 947, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 137 x 317 x 101 x 1 x 947 x 1 = 16615414252
Therefore, the lowest common multiple of 634,404,274,947,548 is 16615414252.
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 404 x 274 x 947 x 548 = 36420988040384
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
404 : 1, 2, 4, 101, 202, 404
274 : 1, 2, 137, 274
947 : 1, 947
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,404,274,947,548, is 1.
Now, the common factors can be found like this.
634:2x 317
404:2x 2x 101
274:2x 137
947:947
548:2x 2x 137
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 137 = 2192
Therefore, the value for common factors is 2192.
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 = 36420988040384/(1x2192)
LCM = 36420988040384/2192
LCM = 16615414252
Thus, we can understand that the LCM of 634,404,274,947,548 is 16615414252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 634, 404, 274, 947, 548
1. What is the LCM of 634, 404, 274, 947, 548?
Answer: LCM of 634, 404, 274, 947, 548 is 16615414252.
2. How to calculate the LCM of 634, 404, 274, 947, 548?
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, 404, 274, 947, 548.
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}.