LCM of 672, 787, 493, 969, 777
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 787, 493, 969, 777 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, 787, 493, 969, 777. So, keep reading to learn more.
Given numbers are 672,787,493,969,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,787,493,969,777 is 183293156256.
Find LCM of 672,787,493,969,777 with Prime Factorization
| 3 | 672, 787, 493, 969, 777 |
| 7 | 224, 787, 493, 323, 259 |
| 17 | 32, 787, 493, 323, 37 |
| 32, 787, 29, 19, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 32 x 787 x 29 x 19 x 37 = 183293156256
Therefore, the lowest common multiple of 672,787,493,969,777 is 183293156256.
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 787 x 493 x 969 x 777 = 196306970350176
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
787 : 1, 787
493 : 1, 17, 29, 493
969 : 1, 3, 17, 19, 51, 57, 323, 969
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,787,493,969,777, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
787:787
493:17x 29
969:3x 17x 19
777:3x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 17 = 1071
Therefore, the value for common factors is 1071.
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 = 196306970350176/(1x1071)
LCM = 196306970350176/1071
LCM = 183293156256
Thus, we can understand that the LCM of 672,787,493,969,777 is 183293156256.
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FAQs on LCM of 672, 787, 493, 969, 777
1. What is the LCM of 672, 787, 493, 969, 777?
Answer: LCM of 672, 787, 493, 969, 777 is 183293156256.
2. How to calculate the LCM of 672, 787, 493, 969, 777?
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, 787, 493, 969, 777.
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}.