LCM of 751, 343, 777, 214, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 343, 777, 214, 784 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, 343, 777, 214, 784. So, keep reading to learn more.
Given numbers are 751,343,777,214,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,343,777,214,784 is 48950912976.
Find LCM of 751,343,777,214,784 with Prime Factorization
| 2 | 751, 343, 777, 214, 784 |
| 7 | 751, 343, 777, 107, 392 |
| 7 | 751, 49, 111, 107, 56 |
| 751, 7, 111, 107, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 751 x 7 x 111 x 107 x 8 = 48950912976
Therefore, the lowest common multiple of 751,343,777,214,784 is 48950912976.
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 343 x 777 x 214 x 784 = 33580326301536
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
343 : 1, 7, 49, 343
777 : 1, 3, 7, 21, 37, 111, 259, 777
214 : 1, 2, 107, 214
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,343,777,214,784, is 1.
Now, the common factors can be found like this.
751:751
343:7x 7x 7
777:3x 7x 37
214:2x 107
784:2x 2x 2x 2x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 7 = 686
Therefore, the value for common factors is 686.
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 = 33580326301536/(1x686)
LCM = 33580326301536/686
LCM = 48950912976
Thus, we can understand that the LCM of 751,343,777,214,784 is 48950912976.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 751, 343, 777, 214, 784
1. What is the LCM of 751, 343, 777, 214, 784?
Answer: LCM of 751, 343, 777, 214, 784 is 48950912976.
2. How to calculate the LCM of 751, 343, 777, 214, 784?
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, 343, 777, 214, 784.
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}.