LCM of 696, 694, 956, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 694, 956, 816 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, 694, 956, 816. So, keep reading to learn more.
Given numbers are 696,694,956,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,694,956,816 is 1962526512.
Find LCM of 696,694,956,816 with Prime Factorization
| 2 | 696, 694, 956, 816 |
| 2 | 348, 347, 478, 408 |
| 2 | 174, 347, 239, 204 |
| 3 | 87, 347, 239, 102 |
| 29, 347, 239, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 347 x 239 x 34 = 1962526512
Therefore, the lowest common multiple of 696,694,956,816 is 1962526512.
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 694 x 956 x 816 = 376805090304
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
694 : 1, 2, 347, 694
956 : 1, 2, 4, 239, 478, 956
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,694,956,816, is 2.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
694:2x 347
956:2x 2x 239
816:2x 2x 2x 2x 3x 17
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 3 = 96
Therefore, the value for common factors is 96.
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 = 376805090304/(2x96)
LCM = 376805090304/192
LCM = 1962526512
Thus, we can understand that the LCM of 696,694,956,816 is 1962526512.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 696, 694, 956, 816
1. What is the LCM of 696, 694, 956, 816?
Answer: LCM of 696, 694, 956, 816 is 1962526512.
2. How to calculate the LCM of 696, 694, 956, 816?
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, 694, 956, 816.
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}.