LCM of 649, 766, 297, 897, 353
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 766, 297, 897, 353 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, 766, 297, 897, 353. So, keep reading to learn more.
Given numbers are 649,766,297,897,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,766,297,897,353 is 1416717062046.
Find LCM of 649,766,297,897,353 with Prime Factorization
| 3 | 649, 766, 297, 897, 353 |
| 11 | 649, 766, 99, 299, 353 |
| 59, 766, 9, 299, 353 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 59 x 766 x 9 x 299 x 353 = 1416717062046
Therefore, the lowest common multiple of 649,766,297,897,353 is 1416717062046.
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 766 x 297 x 897 x 353 = 46751663047518
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
766 : 1, 2, 383, 766
297 : 1, 3, 9, 11, 27, 33, 99, 297
897 : 1, 3, 13, 23, 39, 69, 299, 897
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,766,297,897,353, is 1.
Now, the common factors can be found like this.
649:11x 59
766:2x 383
297:3x 3x 3x 11
897:3x 13x 23
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 46751663047518/(1x33)
LCM = 46751663047518/33
LCM = 1416717062046
Thus, we can understand that the LCM of 649,766,297,897,353 is 1416717062046.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 649, 766, 297, 897, 353
1. What is the LCM of 649, 766, 297, 897, 353?
Answer: LCM of 649, 766, 297, 897, 353 is 1416717062046.
2. How to calculate the LCM of 649, 766, 297, 897, 353?
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, 766, 297, 897, 353.
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}.