LCM of 846, 193, 525, 306, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 846, 193, 525, 306, 175 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 846, 193, 525, 306, 175. So, keep reading to learn more.
Given numbers are 846,193,525,306,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,193,525,306,175 is 485752050.
Find LCM of 846,193,525,306,175 with Prime Factorization
| 2 | 846, 193, 525, 306, 175 |
| 3 | 423, 193, 525, 153, 175 |
| 3 | 141, 193, 175, 51, 175 |
| 5 | 47, 193, 175, 17, 175 |
| 5 | 47, 193, 35, 17, 35 |
| 7 | 47, 193, 7, 17, 7 |
| 47, 193, 1, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 7 x 47 x 193 x 1 x 17 x 1 = 485752050
Therefore, the lowest common multiple of 846,193,525,306,175 is 485752050.
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.
846 x 193 x 525 x 306 x 175 = 4590356872500
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
193 : 1, 193
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,193,525,306,175, is 1.
Now, the common factors can be found like this.
846:2x 3x 3x 47
193:193
525:3x 5x 5x 7
306:2x 3x 3x 17
175:5x 5x 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 3x 3x 3x 5x 5x 7 = 9450
Therefore, the value for common factors is 9450.
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 = 4590356872500/(1x9450)
LCM = 4590356872500/9450
LCM = 485752050
Thus, we can understand that the LCM of 846,193,525,306,175 is 485752050.
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FAQs on LCM of 846, 193, 525, 306, 175
1. What is the LCM of 846, 193, 525, 306, 175?
Answer: LCM of 846, 193, 525, 306, 175 is 485752050.
2. How to calculate the LCM of 846, 193, 525, 306, 175?
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 846, 193, 525, 306, 175.
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}.