LCM of 591, 789, 616, 263, 941
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 789, 616, 263, 941 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 591, 789, 616, 263, 941. So, keep reading to learn more.
Given numbers are 591,789,616,263,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,789,616,263,941 is 90097671048.
Find LCM of 591,789,616,263,941 with Prime Factorization
| 3 | 591, 789, 616, 263, 941 |
| 263 | 197, 263, 616, 263, 941 |
| 197, 1, 616, 1, 941 |
Multiply the prime numbers at the bottom and the left side.
3 x 263 x 197 x 1 x 616 x 1 x 941 = 90097671048
Therefore, the lowest common multiple of 591,789,616,263,941 is 90097671048.
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.
591 x 789 x 616 x 263 x 941 = 71087062456872
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.
591 : 1, 3, 197, 591
789 : 1, 3, 263, 789
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
263 : 1, 263
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,789,616,263,941, is 1.
Now, the common factors can be found like this.
591:3x 197
789:3x 263
616:2x 2x 2x 7x 11
263:263
941:941
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 263 = 789
Therefore, the value for common factors is 789.
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 = 71087062456872/(1x789)
LCM = 71087062456872/789
LCM = 90097671048
Thus, we can understand that the LCM of 591,789,616,263,941 is 90097671048.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 591, 789, 616, 263, 941
1. What is the LCM of 591, 789, 616, 263, 941?
Answer: LCM of 591, 789, 616, 263, 941 is 90097671048.
2. How to calculate the LCM of 591, 789, 616, 263, 941?
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 591, 789, 616, 263, 941.
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}.