LCM of 874, 390, 641, 940, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 390, 641, 940, 231 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 874, 390, 641, 940, 231. So, keep reading to learn more.
Given numbers are 874,390,641,940,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,390,641,940,231 is 790719869940.
Find LCM of 874,390,641,940,231 with Prime Factorization
| 2 | 874, 390, 641, 940, 231 |
| 3 | 437, 195, 641, 470, 231 |
| 5 | 437, 65, 641, 470, 77 |
| 437, 13, 641, 94, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 437 x 13 x 641 x 94 x 77 = 790719869940
Therefore, the lowest common multiple of 874,390,641,940,231 is 790719869940.
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.
874 x 390 x 641 x 940 x 231 = 47443192196400
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
641 : 1, 641
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,390,641,940,231, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
390:2x 3x 5x 13
641:641
940:2x 2x 5x 47
231:3x 7x 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 2x 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 47443192196400/(1x60)
LCM = 47443192196400/60
LCM = 790719869940
Thus, we can understand that the LCM of 874,390,641,940,231 is 790719869940.
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FAQs on LCM of 874, 390, 641, 940, 231
1. What is the LCM of 874, 390, 641, 940, 231?
Answer: LCM of 874, 390, 641, 940, 231 is 790719869940.
2. How to calculate the LCM of 874, 390, 641, 940, 231?
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 874, 390, 641, 940, 231.
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}.