LCM of 705, 926, 831, 682, 577
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 926, 831, 682, 577 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, 926, 831, 682, 577. So, keep reading to learn more.
Given numbers are 705,926,831,682,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,926,831,682,577 is 35580337629870.
Find LCM of 705,926,831,682,577 with Prime Factorization
| 2 | 705, 926, 831, 682, 577 |
| 3 | 705, 463, 831, 341, 577 |
| 235, 463, 277, 341, 577 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 235 x 463 x 277 x 341 x 577 = 35580337629870
Therefore, the lowest common multiple of 705,926,831,682,577 is 35580337629870.
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 926 x 831 x 682 x 577 = 213482025779220
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
926 : 1, 2, 463, 926
831 : 1, 3, 277, 831
682 : 1, 2, 11, 22, 31, 62, 341, 682
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,926,831,682,577, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
926:2x 463
831:3x 277
682:2x 11x 31
577:577
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 213482025779220/(1x6)
LCM = 213482025779220/6
LCM = 35580337629870
Thus, we can understand that the LCM of 705,926,831,682,577 is 35580337629870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 926, 831, 682, 577
1. What is the LCM of 705, 926, 831, 682, 577?
Answer: LCM of 705, 926, 831, 682, 577 is 35580337629870.
2. How to calculate the LCM of 705, 926, 831, 682, 577?
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, 926, 831, 682, 577.
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}.