LCM of 925, 754, 338, 304, 100
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 925, 754, 338, 304, 100 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 925, 754, 338, 304, 100. So, keep reading to learn more.
Given numbers are 925,754,338,304,100
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,754,338,304,100 is 1378161200.
Find LCM of 925,754,338,304,100 with Prime Factorization
| 2 | 925, 754, 338, 304, 100 |
| 2 | 925, 377, 169, 152, 50 |
| 5 | 925, 377, 169, 76, 25 |
| 5 | 185, 377, 169, 76, 5 |
| 13 | 37, 377, 169, 76, 1 |
| 37, 29, 13, 76, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 13 x 37 x 29 x 13 x 76 x 1 = 1378161200
Therefore, the lowest common multiple of 925,754,338,304,100 is 1378161200.
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.
925 x 754 x 338 x 304 x 100 = 7166438240000
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.
925 : 1, 5, 25, 37, 185, 925
754 : 1, 2, 13, 26, 29, 58, 377, 754
338 : 1, 2, 13, 26, 169, 338
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,754,338,304,100, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
754:2x 13x 29
338:2x 13x 13
304:2x 2x 2x 2x 19
100:2x 2x 5x 5
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 2x 5x 5x 13 = 5200
Therefore, the value for common factors is 5200.
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 = 7166438240000/(1x5200)
LCM = 7166438240000/5200
LCM = 1378161200
Thus, we can understand that the LCM of 925,754,338,304,100 is 1378161200.
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FAQs on LCM of 925, 754, 338, 304, 100
1. What is the LCM of 925, 754, 338, 304, 100?
Answer: LCM of 925, 754, 338, 304, 100 is 1378161200.
2. How to calculate the LCM of 925, 754, 338, 304, 100?
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 925, 754, 338, 304, 100.
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}.