LCM of 967, 833, 896, 684, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 833, 896, 684, 639 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 967, 833, 896, 684, 639. So, keep reading to learn more.
Given numbers are 967,833,896,684,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,833,896,684,639 is 1251802758528.
Find LCM of 967,833,896,684,639 with Prime Factorization
| 2 | 967, 833, 896, 684, 639 |
| 2 | 967, 833, 448, 342, 639 |
| 3 | 967, 833, 224, 171, 639 |
| 3 | 967, 833, 224, 57, 213 |
| 7 | 967, 833, 224, 19, 71 |
| 967, 119, 32, 19, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 967 x 119 x 32 x 19 x 71 = 1251802758528
Therefore, the lowest common multiple of 967,833,896,684,639 is 1251802758528.
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.
967 x 833 x 896 x 684 x 639 = 315454295149056
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.
967 : 1, 967
833 : 1, 7, 17, 49, 119, 833
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,833,896,684,639, is 1.
Now, the common factors can be found like this.
967:967
833:7x 7x 17
896:2x 2x 2x 2x 2x 2x 2x 7
684:2x 2x 3x 3x 19
639:3x 3x 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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 315454295149056/(1x252)
LCM = 315454295149056/252
LCM = 1251802758528
Thus, we can understand that the LCM of 967,833,896,684,639 is 1251802758528.
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FAQs on LCM of 967, 833, 896, 684, 639
1. What is the LCM of 967, 833, 896, 684, 639?
Answer: LCM of 967, 833, 896, 684, 639 is 1251802758528.
2. How to calculate the LCM of 967, 833, 896, 684, 639?
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 967, 833, 896, 684, 639.
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}.