LCM of 462, 524, 303, 322, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 524, 303, 322, 746 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 462, 524, 303, 322, 746. So, keep reading to learn more.
Given numbers are 462,524,303,322,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,524,303,322,746 is 104882084076.
Find LCM of 462,524,303,322,746 with Prime Factorization
| 2 | 462, 524, 303, 322, 746 |
| 3 | 231, 262, 303, 161, 373 |
| 7 | 77, 262, 101, 161, 373 |
| 11, 262, 101, 23, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 262 x 101 x 23 x 373 = 104882084076
Therefore, the lowest common multiple of 462,524,303,322,746 is 104882084076.
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.
462 x 524 x 303 x 322 x 746 = 17620190124768
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
524 : 1, 2, 4, 131, 262, 524
303 : 1, 3, 101, 303
322 : 1, 2, 7, 14, 23, 46, 161, 322
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,524,303,322,746, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
524:2x 2x 131
303:3x 101
322:2x 7x 23
746:2x 373
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 17620190124768/(1x168)
LCM = 17620190124768/168
LCM = 104882084076
Thus, we can understand that the LCM of 462,524,303,322,746 is 104882084076.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 462, 524, 303, 322, 746
1. What is the LCM of 462, 524, 303, 322, 746?
Answer: LCM of 462, 524, 303, 322, 746 is 104882084076.
2. How to calculate the LCM of 462, 524, 303, 322, 746?
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 462, 524, 303, 322, 746.
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}.