LCM of 726, 752, 868, 771, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 752, 868, 771, 940 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, 752, 868, 771, 940. So, keep reading to learn more.
Given numbers are 726,752,868,771,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,752,868,771,940 is 76117992720.
Find LCM of 726,752,868,771,940 with Prime Factorization
| 2 | 726, 752, 868, 771, 940 |
| 2 | 363, 376, 434, 771, 470 |
| 3 | 363, 188, 217, 771, 235 |
| 47 | 121, 188, 217, 257, 235 |
| 121, 4, 217, 257, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 121 x 4 x 217 x 257 x 5 = 76117992720
Therefore, the lowest common multiple of 726,752,868,771,940 is 76117992720.
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 752 x 868 x 771 x 940 = 343444383152640
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
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
771 : 1, 3, 257, 771
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,752,868,771,940, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
752:2x 2x 2x 2x 47
868:2x 2x 7x 31
771:3x 257
940:2x 2x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 47 = 4512
Therefore, the value for common factors is 4512.
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 = 343444383152640/(1x4512)
LCM = 343444383152640/4512
LCM = 76117992720
Thus, we can understand that the LCM of 726,752,868,771,940 is 76117992720.
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FAQs on LCM of 726, 752, 868, 771, 940
1. What is the LCM of 726, 752, 868, 771, 940?
Answer: LCM of 726, 752, 868, 771, 940 is 76117992720.
2. How to calculate the LCM of 726, 752, 868, 771, 940?
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, 752, 868, 771, 940.
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}.