LCM of 400, 500, 713, 477, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 500, 713, 477, 144 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, 500, 713, 477, 144. So, keep reading to learn more.
Given numbers are 400,500,713,477,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,500,713,477,144 is 680202000.
Find LCM of 400,500,713,477,144 with Prime Factorization
| 2 | 400, 500, 713, 477, 144 |
| 2 | 200, 250, 713, 477, 72 |
| 2 | 100, 125, 713, 477, 36 |
| 2 | 50, 125, 713, 477, 18 |
| 3 | 25, 125, 713, 477, 9 |
| 3 | 25, 125, 713, 159, 3 |
| 5 | 25, 125, 713, 53, 1 |
| 5 | 5, 25, 713, 53, 1 |
| 1, 5, 713, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 1 x 5 x 713 x 53 x 1 = 680202000
Therefore, the lowest common multiple of 400,500,713,477,144 is 680202000.
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 500 x 713 x 477 x 144 = 9794908800000
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
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
713 : 1, 23, 31, 713
477 : 1, 3, 9, 53, 159, 477
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,500,713,477,144, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
500:2x 2x 5x 5x 5
713:23x 31
477:3x 3x 53
144:2x 2x 2x 2x 3x 3
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 2x 2x 3x 3x 5x 5 = 14400
Therefore, the value for common factors is 14400.
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 = 9794908800000/(1x14400)
LCM = 9794908800000/14400
LCM = 680202000
Thus, we can understand that the LCM of 400,500,713,477,144 is 680202000.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 400, 500, 713, 477, 144
1. What is the LCM of 400, 500, 713, 477, 144?
Answer: LCM of 400, 500, 713, 477, 144 is 680202000.
2. How to calculate the LCM of 400, 500, 713, 477, 144?
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, 500, 713, 477, 144.
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}.