LCM of 804, 912, 274, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 912, 274, 114 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 804, 912, 274, 114. So, keep reading to learn more.
Given numbers are 804,912,274,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,912,274,114 is 8371248.
Find LCM of 804,912,274,114 with Prime Factorization
| 2 | 804, 912, 274, 114 |
| 2 | 402, 456, 137, 57 |
| 3 | 201, 228, 137, 57 |
| 19 | 67, 76, 137, 19 |
| 67, 4, 137, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 67 x 4 x 137 x 1 = 8371248
Therefore, the lowest common multiple of 804,912,274,114 is 8371248.
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.
804 x 912 x 274 x 114 = 22903734528
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
274 : 1, 2, 137, 274
114 : 1, 2, 3, 6, 19, 38, 57, 114
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,912,274,114, is 2.
Now, the common factors can be found like this.
804:2x 2x 3x 67
912:2x 2x 2x 2x 3x 19
274:2x 137
114:2x 3x 19
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 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 22903734528/(2x1368)
LCM = 22903734528/2736
LCM = 8371248
Thus, we can understand that the LCM of 804,912,274,114 is 8371248.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 804, 912, 274, 114
1. What is the LCM of 804, 912, 274, 114?
Answer: LCM of 804, 912, 274, 114 is 8371248.
2. How to calculate the LCM of 804, 912, 274, 114?
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 804, 912, 274, 114.
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}.