LCM of 293, 748, 935, 439, 844
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 748, 935, 439, 844 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 293, 748, 935, 439, 844. So, keep reading to learn more.
Given numbers are 293,748,935,439,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,748,935,439,844 is 101504710780.
Find LCM of 293,748,935,439,844 with Prime Factorization
| 2 | 293, 748, 935, 439, 844 |
| 2 | 293, 374, 935, 439, 422 |
| 11 | 293, 187, 935, 439, 211 |
| 17 | 293, 17, 85, 439, 211 |
| 293, 1, 5, 439, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 293 x 1 x 5 x 439 x 211 = 101504710780
Therefore, the lowest common multiple of 293,748,935,439,844 is 101504710780.
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.
293 x 748 x 935 x 439 x 844 = 75925523663440
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.
293 : 1, 293
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
935 : 1, 5, 11, 17, 55, 85, 187, 935
439 : 1, 439
844 : 1, 2, 4, 211, 422, 844
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,748,935,439,844, is 1.
Now, the common factors can be found like this.
293:293
748:2x 2x 11x 17
935:5x 11x 17
439:439
844:2x 2x 211
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 11x 17 = 748
Therefore, the value for common factors is 748.
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 = 75925523663440/(1x748)
LCM = 75925523663440/748
LCM = 101504710780
Thus, we can understand that the LCM of 293,748,935,439,844 is 101504710780.
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FAQs on LCM of 293, 748, 935, 439, 844
1. What is the LCM of 293, 748, 935, 439, 844?
Answer: LCM of 293, 748, 935, 439, 844 is 101504710780.
2. How to calculate the LCM of 293, 748, 935, 439, 844?
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 293, 748, 935, 439, 844.
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}.