LCM of 367, 289, 312, 892, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 289, 312, 892, 416 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 367, 289, 312, 892, 416. So, keep reading to learn more.
Given numbers are 367,289,312,892,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,289,312,892,416 is 29517757152.
Find LCM of 367,289,312,892,416 with Prime Factorization
| 2 | 367, 289, 312, 892, 416 |
| 2 | 367, 289, 156, 446, 208 |
| 2 | 367, 289, 78, 223, 104 |
| 13 | 367, 289, 39, 223, 52 |
| 367, 289, 3, 223, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 367 x 289 x 3 x 223 x 4 = 29517757152
Therefore, the lowest common multiple of 367,289,312,892,416 is 29517757152.
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.
367 x 289 x 312 x 892 x 416 = 12279386975232
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.
367 : 1, 367
289 : 1, 17, 289
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
892 : 1, 2, 4, 223, 446, 892
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,289,312,892,416, is 1.
Now, the common factors can be found like this.
367:367
289:17x 17
312:2x 2x 2x 3x 13
892:2x 2x 223
416:2x 2x 2x 2x 2x 13
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 13 = 416
Therefore, the value for common factors is 416.
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 = 12279386975232/(1x416)
LCM = 12279386975232/416
LCM = 29517757152
Thus, we can understand that the LCM of 367,289,312,892,416 is 29517757152.
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FAQs on LCM of 367, 289, 312, 892, 416
1. What is the LCM of 367, 289, 312, 892, 416?
Answer: LCM of 367, 289, 312, 892, 416 is 29517757152.
2. How to calculate the LCM of 367, 289, 312, 892, 416?
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 367, 289, 312, 892, 416.
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}.