LCM of 672, 820, 836, 693, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 820, 836, 693, 589 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 672, 820, 836, 693, 589. So, keep reading to learn more.
Given numbers are 672,820,836,693,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,820,836,693,589 is 2677641120.
Find LCM of 672,820,836,693,589 with Prime Factorization
| 2 | 672, 820, 836, 693, 589 |
| 2 | 336, 410, 418, 693, 589 |
| 3 | 168, 205, 209, 693, 589 |
| 7 | 56, 205, 209, 231, 589 |
| 11 | 8, 205, 209, 33, 589 |
| 19 | 8, 205, 19, 3, 589 |
| 8, 205, 1, 3, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 19 x 8 x 205 x 1 x 3 x 31 = 2677641120
Therefore, the lowest common multiple of 672,820,836,693,589 is 2677641120.
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.
672 x 820 x 836 x 693 x 589 = 188034670010880
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.
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,820,836,693,589, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
820:2x 2x 5x 41
836:2x 2x 11x 19
693:3x 3x 7x 11
589:19x 31
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 3x 7x 11x 19 = 70224
Therefore, the value for common factors is 70224.
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 = 188034670010880/(1x70224)
LCM = 188034670010880/70224
LCM = 2677641120
Thus, we can understand that the LCM of 672,820,836,693,589 is 2677641120.
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FAQs on LCM of 672, 820, 836, 693, 589
1. What is the LCM of 672, 820, 836, 693, 589?
Answer: LCM of 672, 820, 836, 693, 589 is 2677641120.
2. How to calculate the LCM of 672, 820, 836, 693, 589?
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 672, 820, 836, 693, 589.
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}.