LCM of 749, 576, 595, 646, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 576, 595, 646, 412 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 749, 576, 595, 646, 412. So, keep reading to learn more.
Given numbers are 749,576,595,646,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,576,595,646,412 is 71765225280.
Find LCM of 749,576,595,646,412 with Prime Factorization
| 2 | 749, 576, 595, 646, 412 |
| 2 | 749, 288, 595, 323, 206 |
| 7 | 749, 144, 595, 323, 103 |
| 17 | 107, 144, 85, 323, 103 |
| 107, 144, 5, 19, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 107 x 144 x 5 x 19 x 103 = 71765225280
Therefore, the lowest common multiple of 749,576,595,646,412 is 71765225280.
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.
749 x 576 x 595 x 646 x 412 = 68320494466560
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.
749 : 1, 7, 107, 749
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
595 : 1, 5, 7, 17, 35, 85, 119, 595
646 : 1, 2, 17, 19, 34, 38, 323, 646
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,576,595,646,412, is 1.
Now, the common factors can be found like this.
749:7x 107
576:2x 2x 2x 2x 2x 2x 3x 3
595:5x 7x 17
646:2x 17x 19
412:2x 2x 103
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 2x 7x 17 = 952
Therefore, the value for common factors is 952.
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 = 68320494466560/(1x952)
LCM = 68320494466560/952
LCM = 71765225280
Thus, we can understand that the LCM of 749,576,595,646,412 is 71765225280.
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FAQs on LCM of 749, 576, 595, 646, 412
1. What is the LCM of 749, 576, 595, 646, 412?
Answer: LCM of 749, 576, 595, 646, 412 is 71765225280.
2. How to calculate the LCM of 749, 576, 595, 646, 412?
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 749, 576, 595, 646, 412.
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}.