LCM of 234, 638, 912, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 638, 912, 696 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 234, 638, 912, 696. So, keep reading to learn more.
Given numbers are 234,638,912,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,638,912,696 is 11346192.
Find LCM of 234,638,912,696 with Prime Factorization
| 2 | 234, 638, 912, 696 |
| 2 | 117, 319, 456, 348 |
| 2 | 117, 319, 228, 174 |
| 3 | 117, 319, 114, 87 |
| 29 | 39, 319, 38, 29 |
| 39, 11, 38, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 39 x 11 x 38 x 1 = 11346192
Therefore, the lowest common multiple of 234,638,912,696 is 11346192.
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.
234 x 638 x 912 x 696 = 94763395584
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
638 : 1, 2, 11, 22, 29, 58, 319, 638
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,638,912,696, is 2.
Now, the common factors can be found like this.
234:2x 3x 3x 13
638:2x 11x 29
912:2x 2x 2x 2x 3x 19
696:2x 2x 2x 3x 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 3x 3x 29 = 4176
Therefore, the value for common factors is 4176.
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 = 94763395584/(2x4176)
LCM = 94763395584/8352
LCM = 11346192
Thus, we can understand that the LCM of 234,638,912,696 is 11346192.
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FAQs on LCM of 234, 638, 912, 696
1. What is the LCM of 234, 638, 912, 696?
Answer: LCM of 234, 638, 912, 696 is 11346192.
2. How to calculate the LCM of 234, 638, 912, 696?
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 234, 638, 912, 696.
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}.