LCM of 696, 949, 754, 304
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 949, 754, 304 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 696, 949, 754, 304. So, keep reading to learn more.
Given numbers are 696,949,754,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,949,754,304 is 25099152.
Find LCM of 696,949,754,304 with Prime Factorization
| 2 | 696, 949, 754, 304 |
| 2 | 348, 949, 377, 152 |
| 2 | 174, 949, 377, 76 |
| 13 | 87, 949, 377, 38 |
| 29 | 87, 73, 29, 38 |
| 3, 73, 1, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 29 x 3 x 73 x 1 x 38 = 25099152
Therefore, the lowest common multiple of 696,949,754,304 is 25099152.
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.
696 x 949 x 754 x 304 = 151398084864
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
949 : 1, 13, 73, 949
754 : 1, 2, 13, 26, 29, 58, 377, 754
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,949,754,304, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
949:13x 73
754:2x 13x 29
304:2x 2x 2x 2x 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 2x 13x 29 = 6032
Therefore, the value for common factors is 6032.
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 = 151398084864/(1x6032)
LCM = 151398084864/6032
LCM = 25099152
Thus, we can understand that the LCM of 696,949,754,304 is 25099152.
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FAQs on LCM of 696, 949, 754, 304
1. What is the LCM of 696, 949, 754, 304?
Answer: LCM of 696, 949, 754, 304 is 25099152.
2. How to calculate the LCM of 696, 949, 754, 304?
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 696, 949, 754, 304.
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}.