LCM of 746, 949, 793, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 949, 793, 990 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 746, 949, 793, 990. So, keep reading to learn more.
Given numbers are 746,949,793,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,949,793,990 is 21376671030.
Find LCM of 746,949,793,990 with Prime Factorization
| 2 | 746, 949, 793, 990 |
| 13 | 373, 949, 793, 495 |
| 373, 73, 61, 495 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 373 x 73 x 61 x 495 = 21376671030
Therefore, the lowest common multiple of 746,949,793,990 is 21376671030.
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.
746 x 949 x 793 x 990 = 555793446780
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.
746 : 1, 2, 373, 746
949 : 1, 13, 73, 949
793 : 1, 13, 61, 793
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,949,793,990, is 1.
Now, the common factors can be found like this.
746:2x 373
949:13x 73
793:13x 61
990:2x 3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 555793446780/(1x26)
LCM = 555793446780/26
LCM = 21376671030
Thus, we can understand that the LCM of 746,949,793,990 is 21376671030.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 746, 949, 793, 990
1. What is the LCM of 746, 949, 793, 990?
Answer: LCM of 746, 949, 793, 990 is 21376671030.
2. How to calculate the LCM of 746, 949, 793, 990?
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 746, 949, 793, 990.
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}.