LCM of 397, 351, 537, 561, 262
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 351, 537, 561, 262 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 397, 351, 537, 561, 262. So, keep reading to learn more.
Given numbers are 397,351,537,561,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,351,537,561,262 is 1222062878322.
Find LCM of 397,351,537,561,262 with Prime Factorization
| 3 | 397, 351, 537, 561, 262 |
| 397, 117, 179, 187, 262 |
Multiply the prime numbers at the bottom and the left side.
3 x 397 x 117 x 179 x 187 x 262 = 1222062878322
Therefore, the lowest common multiple of 397,351,537,561,262 is 1222062878322.
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.
397 x 351 x 537 x 561 x 262 = 10998565904898
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.
397 : 1, 397
351 : 1, 3, 9, 13, 27, 39, 117, 351
537 : 1, 3, 179, 537
561 : 1, 3, 11, 17, 33, 51, 187, 561
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,351,537,561,262, is 1.
Now, the common factors can be found like this.
397:397
351:3x 3x 3x 13
537:3x 179
561:3x 11x 17
262:2x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 10998565904898/(1x9)
LCM = 10998565904898/9
LCM = 1222062878322
Thus, we can understand that the LCM of 397,351,537,561,262 is 1222062878322.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 397, 351, 537, 561, 262
1. What is the LCM of 397, 351, 537, 561, 262?
Answer: LCM of 397, 351, 537, 561, 262 is 1222062878322.
2. How to calculate the LCM of 397, 351, 537, 561, 262?
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 397, 351, 537, 561, 262.
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}.