LCM of 874, 500, 460, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 500, 460, 189 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 874, 500, 460, 189. So, keep reading to learn more.
Given numbers are 874,500,460,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,500,460,189 is 41296500.
Find LCM of 874,500,460,189 with Prime Factorization
| 2 | 874, 500, 460, 189 |
| 2 | 437, 250, 230, 189 |
| 5 | 437, 125, 115, 189 |
| 23 | 437, 25, 23, 189 |
| 19, 25, 1, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 19 x 25 x 1 x 189 = 41296500
Therefore, the lowest common multiple of 874,500,460,189 is 41296500.
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.
874 x 500 x 460 x 189 = 37992780000
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,500,460,189, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
500:2x 2x 5x 5x 5
460:2x 2x 5x 23
189:3x 3x 3x 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 2x 5x 23 = 920
Therefore, the value for common factors is 920.
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 = 37992780000/(1x920)
LCM = 37992780000/920
LCM = 41296500
Thus, we can understand that the LCM of 874,500,460,189 is 41296500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 500, 460, 189
1. What is the LCM of 874, 500, 460, 189?
Answer: LCM of 874, 500, 460, 189 is 41296500.
2. How to calculate the LCM of 874, 500, 460, 189?
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 874, 500, 460, 189.
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}.