LCM of 427, 171, 468, 746, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 427, 171, 468, 746, 786 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 427, 171, 468, 746, 786. So, keep reading to learn more.
Given numbers are 427,171,468,746,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 427,171,468,746,786 is 185527142892.
Find LCM of 427,171,468,746,786 with Prime Factorization
| 2 | 427, 171, 468, 746, 786 |
| 3 | 427, 171, 234, 373, 393 |
| 3 | 427, 57, 78, 373, 131 |
| 427, 19, 26, 373, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 427 x 19 x 26 x 373 x 131 = 185527142892
Therefore, the lowest common multiple of 427,171,468,746,786 is 185527142892.
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.
427 x 171 x 468 x 746 x 786 = 20036931432336
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.
427 : 1, 7, 61, 427
171 : 1, 3, 9, 19, 57, 171
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
746 : 1, 2, 373, 746
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,171,468,746,786, is 1.
Now, the common factors can be found like this.
427:7x 61
171:3x 3x 19
468:2x 2x 3x 3x 13
746:2x 373
786:2x 3x 131
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 20036931432336/(1x108)
LCM = 20036931432336/108
LCM = 185527142892
Thus, we can understand that the LCM of 427,171,468,746,786 is 185527142892.
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FAQs on LCM of 427, 171, 468, 746, 786
1. What is the LCM of 427, 171, 468, 746, 786?
Answer: LCM of 427, 171, 468, 746, 786 is 185527142892.
2. How to calculate the LCM of 427, 171, 468, 746, 786?
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 427, 171, 468, 746, 786.
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}.