LCM of 705, 977, 187, 799, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 977, 187, 799, 849 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 705, 977, 187, 799, 849. So, keep reading to learn more.
Given numbers are 705,977,187,799,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,977,187,799,849 is 36451190985.
Find LCM of 705,977,187,799,849 with Prime Factorization
| 3 | 705, 977, 187, 799, 849 |
| 17 | 235, 977, 187, 799, 283 |
| 47 | 235, 977, 11, 47, 283 |
| 5, 977, 11, 1, 283 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 47 x 5 x 977 x 11 x 1 x 283 = 36451190985
Therefore, the lowest common multiple of 705,977,187,799,849 is 36451190985.
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.
705 x 977 x 187 x 799 x 849 = 87373504791045
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
977 : 1, 977
187 : 1, 11, 17, 187
799 : 1, 17, 47, 799
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,977,187,799,849, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
977:977
187:11x 17
799:17x 47
849:3x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 47 = 2397
Therefore, the value for common factors is 2397.
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 = 87373504791045/(1x2397)
LCM = 87373504791045/2397
LCM = 36451190985
Thus, we can understand that the LCM of 705,977,187,799,849 is 36451190985.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 977, 187, 799, 849
1. What is the LCM of 705, 977, 187, 799, 849?
Answer: LCM of 705, 977, 187, 799, 849 is 36451190985.
2. How to calculate the LCM of 705, 977, 187, 799, 849?
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 705, 977, 187, 799, 849.
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}.