LCM of 233, 825, 925, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 233, 825, 925, 490 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 233, 825, 925, 490. So, keep reading to learn more.
Given numbers are 233,825,925,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,825,925,490 is 697007850.
Find LCM of 233,825,925,490 with Prime Factorization
| 5 | 233, 825, 925, 490 |
| 5 | 233, 165, 185, 98 |
| 233, 33, 37, 98 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 233 x 33 x 37 x 98 = 697007850
Therefore, the lowest common multiple of 233,825,925,490 is 697007850.
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.
233 x 825 x 925 x 490 = 87125981250
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.
233 : 1, 233
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
925 : 1, 5, 25, 37, 185, 925
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,825,925,490, is 1.
Now, the common factors can be found like this.
233:233
825:3x 5x 5x 11
925:5x 5x 37
490:2x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5 = 125
Therefore, the value for common factors is 125.
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 = 87125981250/(1x125)
LCM = 87125981250/125
LCM = 697007850
Thus, we can understand that the LCM of 233,825,925,490 is 697007850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 233, 825, 925, 490
1. What is the LCM of 233, 825, 925, 490?
Answer: LCM of 233, 825, 925, 490 is 697007850.
2. How to calculate the LCM of 233, 825, 925, 490?
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 233, 825, 925, 490.
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}.