LCM of 649, 231, 107, 497
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 231, 107, 497 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 649, 231, 107, 497. So, keep reading to learn more.
Given numbers are 649,231,107,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,231,107,497 is 103539513.
Find LCM of 649,231,107,497 with Prime Factorization
| 7 | 649, 231, 107, 497 |
| 11 | 649, 33, 107, 71 |
| 59, 3, 107, 71 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 59 x 3 x 107 x 71 = 103539513
Therefore, the lowest common multiple of 649,231,107,497 is 103539513.
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.
649 x 231 x 107 x 497 = 7972542501
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.
649 : 1, 11, 59, 649
231 : 1, 3, 7, 11, 21, 33, 77, 231
107 : 1, 107
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,231,107,497, is 1.
Now, the common factors can be found like this.
649:11x 59
231:3x 7x 11
107:107
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11 = 77
Therefore, the value for common factors is 77.
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 = 7972542501/(1x77)
LCM = 7972542501/77
LCM = 103539513
Thus, we can understand that the LCM of 649,231,107,497 is 103539513.
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FAQs on LCM of 649, 231, 107, 497
1. What is the LCM of 649, 231, 107, 497?
Answer: LCM of 649, 231, 107, 497 is 103539513.
2. How to calculate the LCM of 649, 231, 107, 497?
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 649, 231, 107, 497.
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}.