LCM of 293, 188, 879, 616, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 188, 879, 616, 903 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, 188, 879, 616, 903. So, keep reading to learn more.
Given numbers are 293,188,879,616,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,188,879,616,903 is 1094298744.
Find LCM of 293,188,879,616,903 with Prime Factorization
| 2 | 293, 188, 879, 616, 903 |
| 2 | 293, 94, 879, 308, 903 |
| 3 | 293, 47, 879, 154, 903 |
| 7 | 293, 47, 293, 154, 301 |
| 293 | 293, 47, 293, 22, 43 |
| 1, 47, 1, 22, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 293 x 1 x 47 x 1 x 22 x 43 = 1094298744
Therefore, the lowest common multiple of 293,188,879,616,903 is 1094298744.
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 188 x 879 x 616 x 903 = 26932880687328
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
188 : 1, 2, 4, 47, 94, 188
879 : 1, 3, 293, 879
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,188,879,616,903, is 1.
Now, the common factors can be found like this.
293:293
188:2x 2x 47
879:3x 293
616:2x 2x 2x 7x 11
903:3x 7x 43
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 3x 7x 293 = 24612
Therefore, the value for common factors is 24612.
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 = 26932880687328/(1x24612)
LCM = 26932880687328/24612
LCM = 1094298744
Thus, we can understand that the LCM of 293,188,879,616,903 is 1094298744.
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FAQs on LCM of 293, 188, 879, 616, 903
1. What is the LCM of 293, 188, 879, 616, 903?
Answer: LCM of 293, 188, 879, 616, 903 is 1094298744.
2. How to calculate the LCM of 293, 188, 879, 616, 903?
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, 188, 879, 616, 903.
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}.