LCM of 754, 844, 525, 975, 193
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 844, 525, 975, 193 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 754, 844, 525, 975, 193. So, keep reading to learn more.
Given numbers are 754,844,525,975,193
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,844,525,975,193 is 32240399100.
Find LCM of 754,844,525,975,193 with Prime Factorization
| 2 | 754, 844, 525, 975, 193 |
| 3 | 377, 422, 525, 975, 193 |
| 5 | 377, 422, 175, 325, 193 |
| 5 | 377, 422, 35, 65, 193 |
| 13 | 377, 422, 7, 13, 193 |
| 29, 422, 7, 1, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 29 x 422 x 7 x 1 x 193 = 32240399100
Therefore, the lowest common multiple of 754,844,525,975,193 is 32240399100.
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.
754 x 844 x 525 x 975 x 193 = 62868778245000
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
844 : 1, 2, 4, 211, 422, 844
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
193 : 1, 193
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,844,525,975,193, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
844:2x 2x 211
525:3x 5x 5x 7
975:3x 5x 5x 13
193:193
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 5x 5x 13 = 1950
Therefore, the value for common factors is 1950.
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 = 62868778245000/(1x1950)
LCM = 62868778245000/1950
LCM = 32240399100
Thus, we can understand that the LCM of 754,844,525,975,193 is 32240399100.
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FAQs on LCM of 754, 844, 525, 975, 193
1. What is the LCM of 754, 844, 525, 975, 193?
Answer: LCM of 754, 844, 525, 975, 193 is 32240399100.
2. How to calculate the LCM of 754, 844, 525, 975, 193?
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 754, 844, 525, 975, 193.
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}.