LCM of 242, 726, 743, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 726, 743, 869 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, 726, 743, 869. So, keep reading to learn more.
Given numbers are 242,726,743,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,726,743,869 is 42614022.
Find LCM of 242,726,743,869 with Prime Factorization
| 2 | 242, 726, 743, 869 |
| 11 | 121, 363, 743, 869 |
| 11 | 11, 33, 743, 79 |
| 1, 3, 743, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 11 x 1 x 3 x 743 x 79 = 42614022
Therefore, the lowest common multiple of 242,726,743,869 is 42614022.
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 726 x 743 x 869 = 113438526564
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
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
743 : 1, 743
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,726,743,869, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
726:2x 3x 11x 11
743:743
869:11x 79
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 = 113438526564/(1x2662)
LCM = 113438526564/2662
LCM = 42614022
Thus, we can understand that the LCM of 242,726,743,869 is 42614022.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 242, 726, 743, 869
1. What is the LCM of 242, 726, 743, 869?
Answer: LCM of 242, 726, 743, 869 is 42614022.
2. How to calculate the LCM of 242, 726, 743, 869?
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, 726, 743, 869.
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}.