LCM of 538, 959, 448, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 959, 448, 274 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 538, 959, 448, 274. So, keep reading to learn more.
Given numbers are 538,959,448,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,959,448,274 is 16510144.
Find LCM of 538,959,448,274 with Prime Factorization
| 2 | 538, 959, 448, 274 |
| 7 | 269, 959, 224, 137 |
| 137 | 269, 137, 32, 137 |
| 269, 1, 32, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 137 x 269 x 1 x 32 x 1 = 16510144
Therefore, the lowest common multiple of 538,959,448,274 is 16510144.
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.
538 x 959 x 448 x 274 = 63332912384
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.
538 : 1, 2, 269, 538
959 : 1, 7, 137, 959
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,959,448,274, is 1.
Now, the common factors can be found like this.
538:2x 269
959:7x 137
448:2x 2x 2x 2x 2x 2x 7
274:2x 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 7x 137 = 3836
Therefore, the value for common factors is 3836.
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 = 63332912384/(1x3836)
LCM = 63332912384/3836
LCM = 16510144
Thus, we can understand that the LCM of 538,959,448,274 is 16510144.
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FAQs on LCM of 538, 959, 448, 274
1. What is the LCM of 538, 959, 448, 274?
Answer: LCM of 538, 959, 448, 274 is 16510144.
2. How to calculate the LCM of 538, 959, 448, 274?
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 538, 959, 448, 274.
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}.