LCM of 751, 192, 417, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 192, 417, 339 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 751, 192, 417, 339. So, keep reading to learn more.
Given numbers are 751,192,417,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,192,417,339 is 2264823744.
Find LCM of 751,192,417,339 with Prime Factorization
| 3 | 751, 192, 417, 339 |
| 751, 64, 139, 113 |
Multiply the prime numbers at the bottom and the left side.
3 x 751 x 64 x 139 x 113 = 2264823744
Therefore, the lowest common multiple of 751,192,417,339 is 2264823744.
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.
751 x 192 x 417 x 339 = 20383413696
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.
751 : 1, 751
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
417 : 1, 3, 139, 417
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,192,417,339, is 1.
Now, the common factors can be found like this.
751:751
192:2x 2x 2x 2x 2x 2x 3
417:3x 139
339:3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 20383413696/(1x9)
LCM = 20383413696/9
LCM = 2264823744
Thus, we can understand that the LCM of 751,192,417,339 is 2264823744.
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FAQs on LCM of 751, 192, 417, 339
1. What is the LCM of 751, 192, 417, 339?
Answer: LCM of 751, 192, 417, 339 is 2264823744.
2. How to calculate the LCM of 751, 192, 417, 339?
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 751, 192, 417, 339.
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}.