LCM of 268, 172, 674, 784, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 172, 674, 784, 774 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 268, 172, 674, 784, 774. So, keep reading to learn more.
Given numbers are 268,172,674,784,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,172,674,784,774 is 6850649232.
Find LCM of 268,172,674,784,774 with Prime Factorization
| 2 | 268, 172, 674, 784, 774 |
| 2 | 134, 86, 337, 392, 387 |
| 43 | 67, 43, 337, 196, 387 |
| 67, 1, 337, 196, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 67 x 1 x 337 x 196 x 9 = 6850649232
Therefore, the lowest common multiple of 268,172,674,784,774 is 6850649232.
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.
268 x 172 x 674 x 784 x 774 = 18852986686464
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.
268 : 1, 2, 4, 67, 134, 268
172 : 1, 2, 4, 43, 86, 172
674 : 1, 2, 337, 674
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,172,674,784,774, is 2.
Now, the common factors can be found like this.
268:2x 2x 67
172:2x 2x 43
674:2x 337
784:2x 2x 2x 2x 7x 7
774:2x 3x 3x 43
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 43 = 1376
Therefore, the value for common factors is 1376.
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 = 18852986686464/(2x1376)
LCM = 18852986686464/2752
LCM = 6850649232
Thus, we can understand that the LCM of 268,172,674,784,774 is 6850649232.
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FAQs on LCM of 268, 172, 674, 784, 774
1. What is the LCM of 268, 172, 674, 784, 774?
Answer: LCM of 268, 172, 674, 784, 774 is 6850649232.
2. How to calculate the LCM of 268, 172, 674, 784, 774?
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 268, 172, 674, 784, 774.
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}.