LCM of 400, 420, 275, 365
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 420, 275, 365 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 400, 420, 275, 365. So, keep reading to learn more.
Given numbers are 400,420,275,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,420,275,365 is 6745200.
Find LCM of 400,420,275,365 with Prime Factorization
| 2 | 400, 420, 275, 365 |
| 2 | 200, 210, 275, 365 |
| 5 | 100, 105, 275, 365 |
| 5 | 20, 21, 55, 73 |
| 4, 21, 11, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 4 x 21 x 11 x 73 = 6745200
Therefore, the lowest common multiple of 400,420,275,365 is 6745200.
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.
400 x 420 x 275 x 365 = 16863000000
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
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
275 : 1, 5, 11, 25, 55, 275
365 : 1, 5, 73, 365
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,420,275,365, is 5.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
420:2x 2x 3x 5x 7
275:5x 5x 11
365:5x 73
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 5x 5x 5 = 500
Therefore, the value for common factors is 500.
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 = 16863000000/(5x500)
LCM = 16863000000/2500
LCM = 6745200
Thus, we can understand that the LCM of 400,420,275,365 is 6745200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 400, 420, 275, 365
1. What is the LCM of 400, 420, 275, 365?
Answer: LCM of 400, 420, 275, 365 is 6745200.
2. How to calculate the LCM of 400, 420, 275, 365?
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 400, 420, 275, 365.
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}.