LCM of 749, 806, 844, 988, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 806, 844, 988, 928 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 749, 806, 844, 988, 928. So, keep reading to learn more.
Given numbers are 749,806,844,988,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,806,844,988,928 is 1122977090144.
Find LCM of 749,806,844,988,928 with Prime Factorization
| 2 | 749, 806, 844, 988, 928 |
| 2 | 749, 403, 422, 494, 464 |
| 13 | 749, 403, 211, 247, 232 |
| 749, 31, 211, 19, 232 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 749 x 31 x 211 x 19 x 232 = 1122977090144
Therefore, the lowest common multiple of 749,806,844,988,928 is 1122977090144.
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.
749 x 806 x 844 x 988 x 928 = 467158469499904
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.
749 : 1, 7, 107, 749
806 : 1, 2, 13, 26, 31, 62, 403, 806
844 : 1, 2, 4, 211, 422, 844
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,806,844,988,928, is 1.
Now, the common factors can be found like this.
749:7x 107
806:2x 13x 31
844:2x 2x 211
988:2x 2x 13x 19
928:2x 2x 2x 2x 2x 29
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 13 = 416
Therefore, the value for common factors is 416.
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 = 467158469499904/(1x416)
LCM = 467158469499904/416
LCM = 1122977090144
Thus, we can understand that the LCM of 749,806,844,988,928 is 1122977090144.
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FAQs on LCM of 749, 806, 844, 988, 928
1. What is the LCM of 749, 806, 844, 988, 928?
Answer: LCM of 749, 806, 844, 988, 928 is 1122977090144.
2. How to calculate the LCM of 749, 806, 844, 988, 928?
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 749, 806, 844, 988, 928.
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}.