LCM of 382, 975, 410, 465, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 975, 410, 465, 420 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 382, 975, 410, 465, 420. So, keep reading to learn more.
Given numbers are 382,975,410,465,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,975,410,465,420 is 6627375300.
Find LCM of 382,975,410,465,420 with Prime Factorization
| 2 | 382, 975, 410, 465, 420 |
| 3 | 191, 975, 205, 465, 210 |
| 5 | 191, 325, 205, 155, 70 |
| 191, 65, 41, 31, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 191 x 65 x 41 x 31 x 14 = 6627375300
Therefore, the lowest common multiple of 382,975,410,465,420 is 6627375300.
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.
382 x 975 x 410 x 465 x 420 = 29823188850000
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.
382 : 1, 2, 191, 382
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
410 : 1, 2, 5, 10, 41, 82, 205, 410
465 : 1, 3, 5, 15, 31, 93, 155, 465
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,975,410,465,420, is 1.
Now, the common factors can be found like this.
382:2x 191
975:3x 5x 5x 13
410:2x 5x 41
465:3x 5x 31
420:2x 2x 3x 5x 7
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 3x 3x 5x 5x 5 = 4500
Therefore, the value for common factors is 4500.
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 = 29823188850000/(1x4500)
LCM = 29823188850000/4500
LCM = 6627375300
Thus, we can understand that the LCM of 382,975,410,465,420 is 6627375300.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 382, 975, 410, 465, 420
1. What is the LCM of 382, 975, 410, 465, 420?
Answer: LCM of 382, 975, 410, 465, 420 is 6627375300.
2. How to calculate the LCM of 382, 975, 410, 465, 420?
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 382, 975, 410, 465, 420.
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}.