LCM of 752, 429, 906, 902, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 752, 429, 906, 902, 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 752, 429, 906, 902, 656. So, keep reading to learn more.
Given numbers are 752,429,906,902,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 752,429,906,902,656 is 1997266128.
Find LCM of 752,429,906,902,656 with Prime Factorization
| 2 | 752, 429, 906, 902, 656 |
| 2 | 376, 429, 453, 451, 328 |
| 2 | 188, 429, 453, 451, 164 |
| 2 | 94, 429, 453, 451, 82 |
| 3 | 47, 429, 453, 451, 41 |
| 11 | 47, 143, 151, 451, 41 |
| 41 | 47, 13, 151, 41, 41 |
| 47, 13, 151, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 41 x 47 x 13 x 151 x 1 x 1 = 1997266128
Therefore, the lowest common multiple of 752,429,906,902,656 is 1997266128.
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.
752 x 429 x 906 x 902 x 656 = 172947268555776
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.
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
429 : 1, 3, 11, 13, 33, 39, 143, 429
906 : 1, 2, 3, 6, 151, 302, 453, 906
902 : 1, 2, 11, 22, 41, 82, 451, 902
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 752,429,906,902,656, is 1.
Now, the common factors can be found like this.
752:2x 2x 2x 2x 47
429:3x 11x 13
906:2x 3x 151
902:2x 11x 41
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 2x 2x 3x 11x 41 = 86592
Therefore, the value for common factors is 86592.
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 = 172947268555776/(1x86592)
LCM = 172947268555776/86592
LCM = 1997266128
Thus, we can understand that the LCM of 752,429,906,902,656 is 1997266128.
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FAQs on LCM of 752, 429, 906, 902, 656
1. What is the LCM of 752, 429, 906, 902, 656?
Answer: LCM of 752, 429, 906, 902, 656 is 1997266128.
2. How to calculate the LCM of 752, 429, 906, 902, 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 752, 429, 906, 902, 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}.