LCM of 105, 725, 153, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 725, 153, 238 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 105, 725, 153, 238. So, keep reading to learn more.
Given numbers are 105,725,153,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,725,153,238 is 1552950.
Find LCM of 105,725,153,238 with Prime Factorization
| 3 | 105, 725, 153, 238 |
| 5 | 35, 725, 51, 238 |
| 7 | 7, 145, 51, 238 |
| 17 | 1, 145, 51, 34 |
| 1, 145, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 17 x 1 x 145 x 3 x 2 = 1552950
Therefore, the lowest common multiple of 105,725,153,238 is 1552950.
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.
105 x 725 x 153 x 238 = 2772015750
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
725 : 1, 5, 25, 29, 145, 725
153 : 1, 3, 9, 17, 51, 153
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,725,153,238, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
725:5x 5x 29
153:3x 3x 17
238:2x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 17 = 1785
Therefore, the value for common factors is 1785.
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 = 2772015750/(1x1785)
LCM = 2772015750/1785
LCM = 1552950
Thus, we can understand that the LCM of 105,725,153,238 is 1552950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 725, 153, 238
1. What is the LCM of 105, 725, 153, 238?
Answer: LCM of 105, 725, 153, 238 is 1552950.
2. How to calculate the LCM of 105, 725, 153, 238?
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 105, 725, 153, 238.
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}.