LCM of 403, 465, 360, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 465, 360, 421 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 403, 465, 360, 421. So, keep reading to learn more.
Given numbers are 403,465,360,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,465,360,421 is 61078680.
Find LCM of 403,465,360,421 with Prime Factorization
| 3 | 403, 465, 360, 421 |
| 5 | 403, 155, 120, 421 |
| 31 | 403, 31, 24, 421 |
| 13, 1, 24, 421 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 31 x 13 x 1 x 24 x 421 = 61078680
Therefore, the lowest common multiple of 403,465,360,421 is 61078680.
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.
403 x 465 x 360 x 421 = 28401586200
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.
403 : 1, 13, 31, 403
465 : 1, 3, 5, 15, 31, 93, 155, 465
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,465,360,421, is 1.
Now, the common factors can be found like this.
403:13x 31
465:3x 5x 31
360:2x 2x 2x 3x 3x 5
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 31 = 465
Therefore, the value for common factors is 465.
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 = 28401586200/(1x465)
LCM = 28401586200/465
LCM = 61078680
Thus, we can understand that the LCM of 403,465,360,421 is 61078680.
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FAQs on LCM of 403, 465, 360, 421
1. What is the LCM of 403, 465, 360, 421?
Answer: LCM of 403, 465, 360, 421 is 61078680.
2. How to calculate the LCM of 403, 465, 360, 421?
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 403, 465, 360, 421.
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}.