LCM of 742, 303, 338, 845, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 303, 338, 845, 850 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 742, 303, 338, 845, 850. So, keep reading to learn more.
Given numbers are 742,303,338,845,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,303,338,845,850 is 16148127450.
Find LCM of 742,303,338,845,850 with Prime Factorization
| 2 | 742, 303, 338, 845, 850 |
| 5 | 371, 303, 169, 845, 425 |
| 13 | 371, 303, 169, 169, 85 |
| 13 | 371, 303, 13, 13, 85 |
| 371, 303, 1, 1, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 13 x 371 x 303 x 1 x 1 x 85 = 16148127450
Therefore, the lowest common multiple of 742,303,338,845,850 is 16148127450.
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.
742 x 303 x 338 x 845 x 850 = 54580670781000
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
303 : 1, 3, 101, 303
338 : 1, 2, 13, 26, 169, 338
845 : 1, 5, 13, 65, 169, 845
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,303,338,845,850, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
303:3x 101
338:2x 13x 13
845:5x 13x 13
850:2x 5x 5x 17
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 5x 13x 13 = 3380
Therefore, the value for common factors is 3380.
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 = 54580670781000/(1x3380)
LCM = 54580670781000/3380
LCM = 16148127450
Thus, we can understand that the LCM of 742,303,338,845,850 is 16148127450.
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FAQs on LCM of 742, 303, 338, 845, 850
1. What is the LCM of 742, 303, 338, 845, 850?
Answer: LCM of 742, 303, 338, 845, 850 is 16148127450.
2. How to calculate the LCM of 742, 303, 338, 845, 850?
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 742, 303, 338, 845, 850.
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}.