LCM of 674, 224, 742, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 224, 742, 768 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 674, 224, 742, 768. So, keep reading to learn more.
Given numbers are 674,224,742,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,224,742,768 is 96020736.
Find LCM of 674,224,742,768 with Prime Factorization
| 2 | 674, 224, 742, 768 |
| 2 | 337, 112, 371, 384 |
| 2 | 337, 56, 371, 192 |
| 2 | 337, 28, 371, 96 |
| 2 | 337, 14, 371, 48 |
| 7 | 337, 7, 371, 24 |
| 337, 1, 53, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 337 x 1 x 53 x 24 = 96020736
Therefore, the lowest common multiple of 674,224,742,768 is 96020736.
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.
674 x 224 x 742 x 768 = 86034579456
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.
674 : 1, 2, 337, 674
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
742 : 1, 2, 7, 14, 53, 106, 371, 742
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,224,742,768, is 2.
Now, the common factors can be found like this.
674:2x 337
224:2x 2x 2x 2x 2x 7
742:2x 7x 53
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 7 = 448
Therefore, the value for common factors is 448.
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 = 86034579456/(2x448)
LCM = 86034579456/896
LCM = 96020736
Thus, we can understand that the LCM of 674,224,742,768 is 96020736.
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FAQs on LCM of 674, 224, 742, 768
1. What is the LCM of 674, 224, 742, 768?
Answer: LCM of 674, 224, 742, 768 is 96020736.
2. How to calculate the LCM of 674, 224, 742, 768?
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 674, 224, 742, 768.
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}.