LCM of 424, 212, 746, 262
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 424, 212, 746, 262 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 424, 212, 746, 262. So, keep reading to learn more.
Given numbers are 424,212,746,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,212,746,262 is 20717912.
Find LCM of 424,212,746,262 with Prime Factorization
| 2 | 424, 212, 746, 262 |
| 2 | 212, 106, 373, 131 |
| 53 | 53, 106, 373, 131 |
| 1, 2, 373, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 1 x 2 x 373 x 131 = 20717912
Therefore, the lowest common multiple of 424,212,746,262 is 20717912.
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.
424 x 212 x 746 x 262 = 17568789376
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.
424 : 1, 2, 4, 8, 53, 106, 212, 424
212 : 1, 2, 4, 53, 106, 212
746 : 1, 2, 373, 746
262 : 1, 2, 131, 262
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,212,746,262, is 2.
Now, the common factors can be found like this.
424:2x 2x 2x 53
212:2x 2x 53
746:2x 373
262:2x 131
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 53 = 424
Therefore, the value for common factors is 424.
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 = 17568789376/(2x424)
LCM = 17568789376/848
LCM = 20717912
Thus, we can understand that the LCM of 424,212,746,262 is 20717912.
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FAQs on LCM of 424, 212, 746, 262
1. What is the LCM of 424, 212, 746, 262?
Answer: LCM of 424, 212, 746, 262 is 20717912.
2. How to calculate the LCM of 424, 212, 746, 262?
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 424, 212, 746, 262.
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}.