LCM of 705, 412, 756, 771, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 412, 756, 771, 909 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, 412, 756, 771, 909. So, keep reading to learn more.
Given numbers are 705,412,756,771,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,412,756,771,909 is 474986623860.
Find LCM of 705,412,756,771,909 with Prime Factorization
| 2 | 705, 412, 756, 771, 909 |
| 2 | 705, 206, 378, 771, 909 |
| 3 | 705, 103, 189, 771, 909 |
| 3 | 235, 103, 63, 257, 303 |
| 235, 103, 21, 257, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 235 x 103 x 21 x 257 x 101 = 474986623860
Therefore, the lowest common multiple of 705,412,756,771,909 is 474986623860.
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 412 x 756 x 771 x 909 = 153895666130640
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
412 : 1, 2, 4, 103, 206, 412
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
771 : 1, 3, 257, 771
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,412,756,771,909, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
412:2x 2x 103
756:2x 2x 3x 3x 3x 7
771:3x 257
909:3x 3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 153895666130640/(1x324)
LCM = 153895666130640/324
LCM = 474986623860
Thus, we can understand that the LCM of 705,412,756,771,909 is 474986623860.
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FAQs on LCM of 705, 412, 756, 771, 909
1. What is the LCM of 705, 412, 756, 771, 909?
Answer: LCM of 705, 412, 756, 771, 909 is 474986623860.
2. How to calculate the LCM of 705, 412, 756, 771, 909?
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, 412, 756, 771, 909.
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}.