LCM of 726, 801, 121, 824, 117
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 801, 121, 824, 117 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 726, 801, 121, 824, 117. So, keep reading to learn more.
Given numbers are 726,801,121,824,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,801,121,824,117 is 1038217752.
Find LCM of 726,801,121,824,117 with Prime Factorization
| 2 | 726, 801, 121, 824, 117 |
| 3 | 363, 801, 121, 412, 117 |
| 3 | 121, 267, 121, 412, 39 |
| 11 | 121, 89, 121, 412, 13 |
| 11 | 11, 89, 11, 412, 13 |
| 1, 89, 1, 412, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 11 x 1 x 89 x 1 x 412 x 13 = 1038217752
Therefore, the lowest common multiple of 726,801,121,824,117 is 1038217752.
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.
726 x 801 x 121 x 824 x 117 = 6783714791568
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
801 : 1, 3, 9, 89, 267, 801
121 : 1, 11, 121
824 : 1, 2, 4, 8, 103, 206, 412, 824
117 : 1, 3, 9, 13, 39, 117
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,801,121,824,117, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
801:3x 3x 89
121:11x 11
824:2x 2x 2x 103
117:3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11x 11 = 6534
Therefore, the value for common factors is 6534.
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 = 6783714791568/(1x6534)
LCM = 6783714791568/6534
LCM = 1038217752
Thus, we can understand that the LCM of 726,801,121,824,117 is 1038217752.
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FAQs on LCM of 726, 801, 121, 824, 117
1. What is the LCM of 726, 801, 121, 824, 117?
Answer: LCM of 726, 801, 121, 824, 117 is 1038217752.
2. How to calculate the LCM of 726, 801, 121, 824, 117?
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 726, 801, 121, 824, 117.
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}.