LCM of 892, 416, 674, 768, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 416, 674, 768, 448 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 892, 416, 674, 768, 448. So, keep reading to learn more.
Given numbers are 892,416,674,768,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,416,674,768,448 is 5252153088.
Find LCM of 892,416,674,768,448 with Prime Factorization
| 2 | 892, 416, 674, 768, 448 |
| 2 | 446, 208, 337, 384, 224 |
| 2 | 223, 104, 337, 192, 112 |
| 2 | 223, 52, 337, 96, 56 |
| 2 | 223, 26, 337, 48, 28 |
| 2 | 223, 13, 337, 24, 14 |
| 223, 13, 337, 12, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 223 x 13 x 337 x 12 x 7 = 5252153088
Therefore, the lowest common multiple of 892,416,674,768,448 is 5252153088.
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.
892 x 416 x 674 x 768 x 448 = 86051276193792
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.
892 : 1, 2, 4, 223, 446, 892
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
674 : 1, 2, 337, 674
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,416,674,768,448, is 2.
Now, the common factors can be found like this.
892:2x 2x 223
416:2x 2x 2x 2x 2x 13
674:2x 337
768:2x 2x 2x 2x 2x 2x 2x 2x 3
448:2x 2x 2x 2x 2x 2x 7
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 2x 2x 2x 2x 2x 2x 2 = 8192
Therefore, the value for common factors is 8192.
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 = 86051276193792/(2x8192)
LCM = 86051276193792/16384
LCM = 5252153088
Thus, we can understand that the LCM of 892,416,674,768,448 is 5252153088.
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FAQs on LCM of 892, 416, 674, 768, 448
1. What is the LCM of 892, 416, 674, 768, 448?
Answer: LCM of 892, 416, 674, 768, 448 is 5252153088.
2. How to calculate the LCM of 892, 416, 674, 768, 448?
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 892, 416, 674, 768, 448.
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}.