LCM of 611, 777, 497, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 611, 777, 497, 105 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 611, 777, 497, 105. So, keep reading to learn more.
Given numbers are 611,777,497,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,777,497,105 is 168535185.
Find LCM of 611,777,497,105 with Prime Factorization
| 3 | 611, 777, 497, 105 |
| 7 | 611, 259, 497, 35 |
| 611, 37, 71, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 611 x 37 x 71 x 5 = 168535185
Therefore, the lowest common multiple of 611,777,497,105 is 168535185.
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.
611 x 777 x 497 x 105 = 24774672195
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.
611 : 1, 13, 47, 611
777 : 1, 3, 7, 21, 37, 111, 259, 777
497 : 1, 7, 71, 497
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,777,497,105, is 1.
Now, the common factors can be found like this.
611:13x 47
777:3x 7x 37
497:7x 71
105:3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7 = 147
Therefore, the value for common factors is 147.
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 = 24774672195/(1x147)
LCM = 24774672195/147
LCM = 168535185
Thus, we can understand that the LCM of 611,777,497,105 is 168535185.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 611, 777, 497, 105
1. What is the LCM of 611, 777, 497, 105?
Answer: LCM of 611, 777, 497, 105 is 168535185.
2. How to calculate the LCM of 611, 777, 497, 105?
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 611, 777, 497, 105.
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}.