LCM of 728, 975, 152, 394, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 728, 975, 152, 394, 314 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 728, 975, 152, 394, 314. So, keep reading to learn more.
Given numbers are 728,975,152,394,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,975,152,394,314 is 32085744600.
Find LCM of 728,975,152,394,314 with Prime Factorization
| 2 | 728, 975, 152, 394, 314 |
| 2 | 364, 975, 76, 197, 157 |
| 2 | 182, 975, 38, 197, 157 |
| 13 | 91, 975, 19, 197, 157 |
| 7, 75, 19, 197, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 7 x 75 x 19 x 197 x 157 = 32085744600
Therefore, the lowest common multiple of 728,975,152,394,314 is 32085744600.
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.
728 x 975 x 152 x 394 x 314 = 13347669753600
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
152 : 1, 2, 4, 8, 19, 38, 76, 152
394 : 1, 2, 197, 394
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,975,152,394,314, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
975:3x 5x 5x 13
152:2x 2x 2x 19
394:2x 197
314:2x 157
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 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 13347669753600/(1x416)
LCM = 13347669753600/416
LCM = 32085744600
Thus, we can understand that the LCM of 728,975,152,394,314 is 32085744600.
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FAQs on LCM of 728, 975, 152, 394, 314
1. What is the LCM of 728, 975, 152, 394, 314?
Answer: LCM of 728, 975, 152, 394, 314 is 32085744600.
2. How to calculate the LCM of 728, 975, 152, 394, 314?
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 728, 975, 152, 394, 314.
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}.