LCM of 744, 939, 899, 406, 520
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 939, 899, 406, 520 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 744, 939, 899, 406, 520. So, keep reading to learn more.
Given numbers are 744,939,899,406,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,939,899,406,520 is 3072746040.
Find LCM of 744,939,899,406,520 with Prime Factorization
| 2 | 744, 939, 899, 406, 520 |
| 2 | 372, 939, 899, 203, 260 |
| 2 | 186, 939, 899, 203, 130 |
| 3 | 93, 939, 899, 203, 65 |
| 29 | 31, 313, 899, 203, 65 |
| 31 | 31, 313, 31, 7, 65 |
| 1, 313, 1, 7, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 31 x 1 x 313 x 1 x 7 x 65 = 3072746040
Therefore, the lowest common multiple of 744,939,899,406,520 is 3072746040.
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.
744 x 939 x 899 x 406 x 520 = 132595137118080
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.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
939 : 1, 3, 313, 939
899 : 1, 29, 31, 899
406 : 1, 2, 7, 14, 29, 58, 203, 406
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,939,899,406,520, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
939:3x 313
899:29x 31
406:2x 7x 29
520:2x 2x 2x 5x 13
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 2x 3x 29x 31 = 43152
Therefore, the value for common factors is 43152.
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 = 132595137118080/(1x43152)
LCM = 132595137118080/43152
LCM = 3072746040
Thus, we can understand that the LCM of 744,939,899,406,520 is 3072746040.
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FAQs on LCM of 744, 939, 899, 406, 520
1. What is the LCM of 744, 939, 899, 406, 520?
Answer: LCM of 744, 939, 899, 406, 520 is 3072746040.
2. How to calculate the LCM of 744, 939, 899, 406, 520?
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 744, 939, 899, 406, 520.
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}.