LCM of 242, 909, 913, 847, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 909, 913, 847, 724 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 242, 909, 913, 847, 724. So, keep reading to learn more.
Given numbers are 242,909,913,847,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,909,913,847,724 is 46266212916.
Find LCM of 242,909,913,847,724 with Prime Factorization
| 2 | 242, 909, 913, 847, 724 |
| 11 | 121, 909, 913, 847, 362 |
| 11 | 11, 909, 83, 77, 362 |
| 1, 909, 83, 7, 362 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 11 x 1 x 909 x 83 x 7 x 362 = 46266212916
Therefore, the lowest common multiple of 242,909,913,847,724 is 46266212916.
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.
242 x 909 x 913 x 847 x 724 = 123160658782392
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.
242 : 1, 2, 11, 22, 121, 242
909 : 1, 3, 9, 101, 303, 909
913 : 1, 11, 83, 913
847 : 1, 7, 11, 77, 121, 847
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,909,913,847,724, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
909:3x 3x 101
913:11x 83
847:7x 11x 11
724:2x 2x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 11 = 2662
Therefore, the value for common factors is 2662.
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 = 123160658782392/(1x2662)
LCM = 123160658782392/2662
LCM = 46266212916
Thus, we can understand that the LCM of 242,909,913,847,724 is 46266212916.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 242, 909, 913, 847, 724
1. What is the LCM of 242, 909, 913, 847, 724?
Answer: LCM of 242, 909, 913, 847, 724 is 46266212916.
2. How to calculate the LCM of 242, 909, 913, 847, 724?
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 242, 909, 913, 847, 724.
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}.