LCM of 751, 686, 588, 168, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 686, 588, 168, 284 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, 686, 588, 168, 284. So, keep reading to learn more.
Given numbers are 751,686,588,168,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,686,588,168,284 is 438938472.
Find LCM of 751,686,588,168,284 with Prime Factorization
| 2 | 751, 686, 588, 168, 284 |
| 2 | 751, 343, 294, 84, 142 |
| 3 | 751, 343, 147, 42, 71 |
| 7 | 751, 343, 49, 14, 71 |
| 7 | 751, 7, 49, 2, 71 |
| 751, 1, 7, 2, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 751 x 1 x 7 x 2 x 71 = 438938472
Therefore, the lowest common multiple of 751,686,588,168,284 is 438938472.
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 686 x 588 x 168 x 284 = 14453366006016
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
686 : 1, 2, 7, 14, 49, 98, 343, 686
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,686,588,168,284, is 1.
Now, the common factors can be found like this.
751:751
686:2x 7x 7x 7
588:2x 2x 3x 7x 7
168:2x 2x 2x 3x 7
284:2x 2x 71
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 3x 7x 7x 7 = 32928
Therefore, the value for common factors is 32928.
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 = 14453366006016/(1x32928)
LCM = 14453366006016/32928
LCM = 438938472
Thus, we can understand that the LCM of 751,686,588,168,284 is 438938472.
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FAQs on LCM of 751, 686, 588, 168, 284
1. What is the LCM of 751, 686, 588, 168, 284?
Answer: LCM of 751, 686, 588, 168, 284 is 438938472.
2. How to calculate the LCM of 751, 686, 588, 168, 284?
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, 686, 588, 168, 284.
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}.