LCM of 747, 832, 835, 926, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 832, 835, 926, 656 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 747, 832, 835, 926, 656. So, keep reading to learn more.
Given numbers are 747,832,835,926,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,832,835,926,656 is 9851338710720.
Find LCM of 747,832,835,926,656 with Prime Factorization
| 2 | 747, 832, 835, 926, 656 |
| 2 | 747, 416, 835, 463, 328 |
| 2 | 747, 208, 835, 463, 164 |
| 2 | 747, 104, 835, 463, 82 |
| 747, 52, 835, 463, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 747 x 52 x 835 x 463 x 41 = 9851338710720
Therefore, the lowest common multiple of 747,832,835,926,656 is 9851338710720.
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.
747 x 832 x 835 x 926 x 656 = 315242838743040
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.
747 : 1, 3, 9, 83, 249, 747
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
835 : 1, 5, 167, 835
926 : 1, 2, 463, 926
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,832,835,926,656, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
832:2x 2x 2x 2x 2x 2x 13
835:5x 167
926:2x 463
656:2x 2x 2x 2x 41
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 2 = 32
Therefore, the value for common factors is 32.
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 = 315242838743040/(1x32)
LCM = 315242838743040/32
LCM = 9851338710720
Thus, we can understand that the LCM of 747,832,835,926,656 is 9851338710720.
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FAQs on LCM of 747, 832, 835, 926, 656
1. What is the LCM of 747, 832, 835, 926, 656?
Answer: LCM of 747, 832, 835, 926, 656 is 9851338710720.
2. How to calculate the LCM of 747, 832, 835, 926, 656?
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 747, 832, 835, 926, 656.
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}.