LCM of 470, 375, 218, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 375, 218, 872 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 470, 375, 218, 872. So, keep reading to learn more.
Given numbers are 470,375,218,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,375,218,872 is 15369000.
Find LCM of 470,375,218,872 with Prime Factorization
| 2 | 470, 375, 218, 872 |
| 5 | 235, 375, 109, 436 |
| 109 | 47, 75, 109, 436 |
| 47, 75, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 109 x 47 x 75 x 1 x 4 = 15369000
Therefore, the lowest common multiple of 470,375,218,872 is 15369000.
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.
470 x 375 x 218 x 872 = 33504420000
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
375 : 1, 3, 5, 15, 25, 75, 125, 375
218 : 1, 2, 109, 218
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,375,218,872, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
375:3x 5x 5x 5
218:2x 109
872:2x 2x 2x 109
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 109 = 2180
Therefore, the value for common factors is 2180.
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 = 33504420000/(1x2180)
LCM = 33504420000/2180
LCM = 15369000
Thus, we can understand that the LCM of 470,375,218,872 is 15369000.
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FAQs on LCM of 470, 375, 218, 872
1. What is the LCM of 470, 375, 218, 872?
Answer: LCM of 470, 375, 218, 872 is 15369000.
2. How to calculate the LCM of 470, 375, 218, 872?
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 470, 375, 218, 872.
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}.