LCM of 671, 427, 763, 496, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 427, 763, 496, 104 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 671, 427, 763, 496, 104. So, keep reading to learn more.
Given numbers are 671,427,763,496,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,427,763,496,104 is 3301201904.
Find LCM of 671,427,763,496,104 with Prime Factorization
| 2 | 671, 427, 763, 496, 104 |
| 2 | 671, 427, 763, 248, 52 |
| 2 | 671, 427, 763, 124, 26 |
| 7 | 671, 427, 763, 62, 13 |
| 61 | 671, 61, 109, 62, 13 |
| 11, 1, 109, 62, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 61 x 11 x 1 x 109 x 62 x 13 = 3301201904
Therefore, the lowest common multiple of 671,427,763,496,104 is 3301201904.
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.
671 x 427 x 763 x 496 x 104 = 11276905704064
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.
671 : 1, 11, 61, 671
427 : 1, 7, 61, 427
763 : 1, 7, 109, 763
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,427,763,496,104, is 1.
Now, the common factors can be found like this.
671:11x 61
427:7x 61
763:7x 109
496:2x 2x 2x 2x 31
104:2x 2x 2x 13
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 7x 61 = 3416
Therefore, the value for common factors is 3416.
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 = 11276905704064/(1x3416)
LCM = 11276905704064/3416
LCM = 3301201904
Thus, we can understand that the LCM of 671,427,763,496,104 is 3301201904.
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FAQs on LCM of 671, 427, 763, 496, 104
1. What is the LCM of 671, 427, 763, 496, 104?
Answer: LCM of 671, 427, 763, 496, 104 is 3301201904.
2. How to calculate the LCM of 671, 427, 763, 496, 104?
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 671, 427, 763, 496, 104.
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}.