LCM of 834, 936, 420, 188, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 936, 420, 188, 468 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 834, 936, 420, 188, 468. So, keep reading to learn more.
Given numbers are 834,936,420,188,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,936,420,188,468 is 214021080.
Find LCM of 834,936,420,188,468 with Prime Factorization
| 2 | 834, 936, 420, 188, 468 |
| 2 | 417, 468, 210, 94, 234 |
| 3 | 417, 117, 105, 47, 234 |
| 3 | 139, 39, 35, 47, 78 |
| 13 | 139, 13, 35, 47, 26 |
| 139, 1, 35, 47, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 139 x 1 x 35 x 47 x 2 = 214021080
Therefore, the lowest common multiple of 834,936,420,188,468 is 214021080.
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.
834 x 936 x 420 x 188 x 468 = 28846617246720
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
188 : 1, 2, 4, 47, 94, 188
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,936,420,188,468, is 2.
Now, the common factors can be found like this.
834:2x 3x 139
936:2x 2x 2x 3x 3x 13
420:2x 2x 3x 5x 7
188:2x 2x 47
468:2x 2x 3x 3x 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 2x 2x 2x 3x 3x 3x 3x 13 = 67392
Therefore, the value for common factors is 67392.
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 = 28846617246720/(2x67392)
LCM = 28846617246720/134784
LCM = 214021080
Thus, we can understand that the LCM of 834,936,420,188,468 is 214021080.
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FAQs on LCM of 834, 936, 420, 188, 468
1. What is the LCM of 834, 936, 420, 188, 468?
Answer: LCM of 834, 936, 420, 188, 468 is 214021080.
2. How to calculate the LCM of 834, 936, 420, 188, 468?
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 834, 936, 420, 188, 468.
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}.