LCM of 813, 923, 527, 153, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 923, 527, 153, 741 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 813, 923, 527, 153, 741. So, keep reading to learn more.
Given numbers are 813,923,527,153,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,923,527,153,741 is 22541235561.
Find LCM of 813,923,527,153,741 with Prime Factorization
| 3 | 813, 923, 527, 153, 741 |
| 13 | 271, 923, 527, 51, 247 |
| 17 | 271, 71, 527, 51, 19 |
| 271, 71, 31, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 271 x 71 x 31 x 3 x 19 = 22541235561
Therefore, the lowest common multiple of 813,923,527,153,741 is 22541235561.
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.
813 x 923 x 527 x 153 x 741 = 44834517530829
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.
813 : 1, 3, 271, 813
923 : 1, 13, 71, 923
527 : 1, 17, 31, 527
153 : 1, 3, 9, 17, 51, 153
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,923,527,153,741, is 1.
Now, the common factors can be found like this.
813:3x 271
923:13x 71
527:17x 31
153:3x 3x 17
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 17 = 1989
Therefore, the value for common factors is 1989.
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 = 44834517530829/(1x1989)
LCM = 44834517530829/1989
LCM = 22541235561
Thus, we can understand that the LCM of 813,923,527,153,741 is 22541235561.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 813, 923, 527, 153, 741
1. What is the LCM of 813, 923, 527, 153, 741?
Answer: LCM of 813, 923, 527, 153, 741 is 22541235561.
2. How to calculate the LCM of 813, 923, 527, 153, 741?
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 813, 923, 527, 153, 741.
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}.