LCM of 747, 775, 868, 899, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 775, 868, 899, 309 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 747, 775, 868, 899, 309. So, keep reading to learn more.
Given numbers are 747,775,868,899,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,775,868,899,309 is 48418971300.
Find LCM of 747,775,868,899,309 with Prime Factorization
| 3 | 747, 775, 868, 899, 309 |
| 31 | 249, 775, 868, 899, 103 |
| 249, 25, 28, 29, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 31 x 249 x 25 x 28 x 29 x 103 = 48418971300
Therefore, the lowest common multiple of 747,775,868,899,309 is 48418971300.
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.
747 x 775 x 868 x 899 x 309 = 139591894257900
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.
747 : 1, 3, 9, 83, 249, 747
775 : 1, 5, 25, 31, 155, 775
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
899 : 1, 29, 31, 899
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,775,868,899,309, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
775:5x 5x 31
868:2x 2x 7x 31
899:29x 31
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 31x 31 = 2883
Therefore, the value for common factors is 2883.
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 = 139591894257900/(1x2883)
LCM = 139591894257900/2883
LCM = 48418971300
Thus, we can understand that the LCM of 747,775,868,899,309 is 48418971300.
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FAQs on LCM of 747, 775, 868, 899, 309
1. What is the LCM of 747, 775, 868, 899, 309?
Answer: LCM of 747, 775, 868, 899, 309 is 48418971300.
2. How to calculate the LCM of 747, 775, 868, 899, 309?
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 747, 775, 868, 899, 309.
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}.