LCM of 791, 437, 781, 684, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 791, 437, 781, 684, 644 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 791, 437, 781, 684, 644. So, keep reading to learn more.
Given numbers are 791,437,781,684,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,437,781,684,644 is 9718773372.
Find LCM of 791,437,781,684,644 with Prime Factorization
| 2 | 791, 437, 781, 684, 644 |
| 2 | 791, 437, 781, 342, 322 |
| 7 | 791, 437, 781, 171, 161 |
| 19 | 113, 437, 781, 171, 23 |
| 23 | 113, 23, 781, 9, 23 |
| 113, 1, 781, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 23 x 113 x 1 x 781 x 9 x 1 = 9718773372
Therefore, the lowest common multiple of 791,437,781,684,644 is 9718773372.
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.
791 x 437 x 781 x 684 x 644 = 118918910979792
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.
791 : 1, 7, 113, 791
437 : 1, 19, 23, 437
781 : 1, 11, 71, 781
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,437,781,684,644, is 1.
Now, the common factors can be found like this.
791:7x 113
437:19x 23
781:11x 71
684:2x 2x 3x 3x 19
644:2x 2x 7x 23
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 7x 19x 23 = 12236
Therefore, the value for common factors is 12236.
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 = 118918910979792/(1x12236)
LCM = 118918910979792/12236
LCM = 9718773372
Thus, we can understand that the LCM of 791,437,781,684,644 is 9718773372.
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FAQs on LCM of 791, 437, 781, 684, 644
1. What is the LCM of 791, 437, 781, 684, 644?
Answer: LCM of 791, 437, 781, 684, 644 is 9718773372.
2. How to calculate the LCM of 791, 437, 781, 684, 644?
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 791, 437, 781, 684, 644.
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}.