LCM of 637, 418, 197, 806, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 418, 197, 806, 361 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 637, 418, 197, 806, 361. So, keep reading to learn more.
Given numbers are 637,418,197,806,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,418,197,806,361 is 30895642778.
Find LCM of 637,418,197,806,361 with Prime Factorization
| 2 | 637, 418, 197, 806, 361 |
| 13 | 637, 209, 197, 403, 361 |
| 19 | 49, 209, 197, 31, 361 |
| 49, 11, 197, 31, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 49 x 11 x 197 x 31 x 19 = 30895642778
Therefore, the lowest common multiple of 637,418,197,806,361 is 30895642778.
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.
637 x 418 x 197 x 806 x 361 = 15262447532332
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.
637 : 1, 7, 13, 49, 91, 637
418 : 1, 2, 11, 19, 22, 38, 209, 418
197 : 1, 197
806 : 1, 2, 13, 26, 31, 62, 403, 806
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,418,197,806,361, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
418:2x 11x 19
197:197
806:2x 13x 31
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 19 = 494
Therefore, the value for common factors is 494.
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 = 15262447532332/(1x494)
LCM = 15262447532332/494
LCM = 30895642778
Thus, we can understand that the LCM of 637,418,197,806,361 is 30895642778.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 637, 418, 197, 806, 361
1. What is the LCM of 637, 418, 197, 806, 361?
Answer: LCM of 637, 418, 197, 806, 361 is 30895642778.
2. How to calculate the LCM of 637, 418, 197, 806, 361?
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 637, 418, 197, 806, 361.
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}.