LCM of 941, 629, 580, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 941, 629, 580, 918 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 941, 629, 580, 918. So, keep reading to learn more.
Given numbers are 941,629,580,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,629,580,918 is 9268981740.
Find LCM of 941,629,580,918 with Prime Factorization
| 2 | 941, 629, 580, 918 |
| 17 | 941, 629, 290, 459 |
| 941, 37, 290, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 941 x 37 x 290 x 27 = 9268981740
Therefore, the lowest common multiple of 941,629,580,918 is 9268981740.
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.
941 x 629 x 580 x 918 = 315145379160
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.
941 : 1, 941
629 : 1, 17, 37, 629
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,629,580,918, is 1.
Now, the common factors can be found like this.
941:941
629:17x 37
580:2x 2x 5x 29
918:2x 3x 3x 3x 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 17 = 34
Therefore, the value for common factors is 34.
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 = 315145379160/(1x34)
LCM = 315145379160/34
LCM = 9268981740
Thus, we can understand that the LCM of 941,629,580,918 is 9268981740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 941, 629, 580, 918
1. What is the LCM of 941, 629, 580, 918?
Answer: LCM of 941, 629, 580, 918 is 9268981740.
2. How to calculate the LCM of 941, 629, 580, 918?
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 941, 629, 580, 918.
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}.