LCM of 771, 940, 232, 200, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 940, 232, 200, 434 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 771, 940, 232, 200, 434. So, keep reading to learn more.
Given numbers are 771,940,232,200,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,940,232,200,434 is 45607888200.
Find LCM of 771,940,232,200,434 with Prime Factorization
| 2 | 771, 940, 232, 200, 434 |
| 2 | 771, 470, 116, 100, 217 |
| 2 | 771, 235, 58, 50, 217 |
| 5 | 771, 235, 29, 25, 217 |
| 771, 47, 29, 5, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 771 x 47 x 29 x 5 x 217 = 45607888200
Therefore, the lowest common multiple of 771,940,232,200,434 is 45607888200.
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.
771 x 940 x 232 x 200 x 434 = 14594524224000
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.
771 : 1, 3, 257, 771
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
232 : 1, 2, 4, 8, 29, 58, 116, 232
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,940,232,200,434, is 1.
Now, the common factors can be found like this.
771:3x 257
940:2x 2x 5x 47
232:2x 2x 2x 29
200:2x 2x 2x 5x 5
434:2x 7x 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 2x 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 14594524224000/(1x320)
LCM = 14594524224000/320
LCM = 45607888200
Thus, we can understand that the LCM of 771,940,232,200,434 is 45607888200.
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FAQs on LCM of 771, 940, 232, 200, 434
1. What is the LCM of 771, 940, 232, 200, 434?
Answer: LCM of 771, 940, 232, 200, 434 is 45607888200.
2. How to calculate the LCM of 771, 940, 232, 200, 434?
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 771, 940, 232, 200, 434.
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}.