LCM of 284, 905, 375, 100
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 905, 375, 100 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 284, 905, 375, 100. So, keep reading to learn more.
Given numbers are 284,905,375,100
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,905,375,100 is 19276500.
Find LCM of 284,905,375,100 with Prime Factorization
| 2 | 284, 905, 375, 100 |
| 2 | 142, 905, 375, 50 |
| 5 | 71, 905, 375, 25 |
| 5 | 71, 181, 75, 5 |
| 71, 181, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 71 x 181 x 15 x 1 = 19276500
Therefore, the lowest common multiple of 284,905,375,100 is 19276500.
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.
284 x 905 x 375 x 100 = 9638250000
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.
284 : 1, 2, 4, 71, 142, 284
905 : 1, 5, 181, 905
375 : 1, 3, 5, 15, 25, 75, 125, 375
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,905,375,100, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
905:5x 181
375:3x 5x 5x 5
100:2x 2x 5x 5
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 = 9638250000/(1x500)
LCM = 9638250000/500
LCM = 19276500
Thus, we can understand that the LCM of 284,905,375,100 is 19276500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 284, 905, 375, 100
1. What is the LCM of 284, 905, 375, 100?
Answer: LCM of 284, 905, 375, 100 is 19276500.
2. How to calculate the LCM of 284, 905, 375, 100?
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 284, 905, 375, 100.
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}.