LCM of 596, 420, 462, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 420, 462, 396 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 596, 420, 462, 396. So, keep reading to learn more.
Given numbers are 596,420,462,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,420,462,396 is 2065140.
Find LCM of 596,420,462,396 with Prime Factorization
| 2 | 596, 420, 462, 396 |
| 2 | 298, 210, 231, 198 |
| 3 | 149, 105, 231, 99 |
| 7 | 149, 35, 77, 33 |
| 11 | 149, 5, 11, 33 |
| 149, 5, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 149 x 5 x 1 x 3 = 2065140
Therefore, the lowest common multiple of 596,420,462,396 is 2065140.
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.
596 x 420 x 462 x 396 = 45796544640
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.
596 : 1, 2, 4, 149, 298, 596
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,420,462,396, is 2.
Now, the common factors can be found like this.
596:2x 2x 149
420:2x 2x 3x 5x 7
462:2x 3x 7x 11
396:2x 2x 3x 3x 11
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 3x 3x 7x 11 = 11088
Therefore, the value for common factors is 11088.
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 = 45796544640/(2x11088)
LCM = 45796544640/22176
LCM = 2065140
Thus, we can understand that the LCM of 596,420,462,396 is 2065140.
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FAQs on LCM of 596, 420, 462, 396
1. What is the LCM of 596, 420, 462, 396?
Answer: LCM of 596, 420, 462, 396 is 2065140.
2. How to calculate the LCM of 596, 420, 462, 396?
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 596, 420, 462, 396.
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}.