LCM of 843, 303, 913, 754, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 303, 913, 754, 697 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 843, 303, 913, 754, 697. So, keep reading to learn more.
Given numbers are 843,303,913,754,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,303,913,754,697 is 40852990205742.
Find LCM of 843,303,913,754,697 with Prime Factorization
| 3 | 843, 303, 913, 754, 697 |
| 281, 101, 913, 754, 697 |
Multiply the prime numbers at the bottom and the left side.
3 x 281 x 101 x 913 x 754 x 697 = 40852990205742
Therefore, the lowest common multiple of 843,303,913,754,697 is 40852990205742.
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.
843 x 303 x 913 x 754 x 697 = 122558970617226
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.
843 : 1, 3, 281, 843
303 : 1, 3, 101, 303
913 : 1, 11, 83, 913
754 : 1, 2, 13, 26, 29, 58, 377, 754
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,303,913,754,697, is 1.
Now, the common factors can be found like this.
843:3x 281
303:3x 101
913:11x 83
754:2x 13x 29
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 122558970617226/(1x3)
LCM = 122558970617226/3
LCM = 40852990205742
Thus, we can understand that the LCM of 843,303,913,754,697 is 40852990205742.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 843, 303, 913, 754, 697
1. What is the LCM of 843, 303, 913, 754, 697?
Answer: LCM of 843, 303, 913, 754, 697 is 40852990205742.
2. How to calculate the LCM of 843, 303, 913, 754, 697?
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 843, 303, 913, 754, 697.
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}.