LCM of 768, 912, 675, 142
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 912, 675, 142 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 768, 912, 675, 142. So, keep reading to learn more.
Given numbers are 768,912,675,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,912,675,142 is 233107200.
Find LCM of 768,912,675,142 with Prime Factorization
| 2 | 768, 912, 675, 142 |
| 2 | 384, 456, 675, 71 |
| 2 | 192, 228, 675, 71 |
| 2 | 96, 114, 675, 71 |
| 3 | 48, 57, 675, 71 |
| 16, 19, 225, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 16 x 19 x 225 x 71 = 233107200
Therefore, the lowest common multiple of 768,912,675,142 is 233107200.
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.
768 x 912 x 675 x 142 = 67134873600
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,912,675,142, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
912:2x 2x 2x 2x 3x 19
675:3x 3x 3x 5x 5
142:2x 71
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 67134873600/(1x288)
LCM = 67134873600/288
LCM = 233107200
Thus, we can understand that the LCM of 768,912,675,142 is 233107200.
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FAQs on LCM of 768, 912, 675, 142
1. What is the LCM of 768, 912, 675, 142?
Answer: LCM of 768, 912, 675, 142 is 233107200.
2. How to calculate the LCM of 768, 912, 675, 142?
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 768, 912, 675, 142.
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}.