LCM of 538, 397, 282, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 397, 282, 446 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, 397, 282, 446. So, keep reading to learn more.
Given numbers are 538,397,282,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,397,282,446 is 6715784598.
Find LCM of 538,397,282,446 with Prime Factorization
| 2 | 538, 397, 282, 446 |
| 269, 397, 141, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 269 x 397 x 141 x 223 = 6715784598
Therefore, the lowest common multiple of 538,397,282,446 is 6715784598.
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 397 x 282 x 446 = 26863138392
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
397 : 1, 397
282 : 1, 2, 3, 6, 47, 94, 141, 282
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,397,282,446, is 1.
Now, the common factors can be found like this.
538:2x 269
397:397
282:2x 3x 47
446:2x 223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 26863138392/(1x4)
LCM = 26863138392/4
LCM = 6715784598
Thus, we can understand that the LCM of 538,397,282,446 is 6715784598.
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FAQs on LCM of 538, 397, 282, 446
1. What is the LCM of 538, 397, 282, 446?
Answer: LCM of 538, 397, 282, 446 is 6715784598.
2. How to calculate the LCM of 538, 397, 282, 446?
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, 397, 282, 446.
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}.