LCM of 428, 724, 724, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 724, 724, 312 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 428, 724, 724, 312. So, keep reading to learn more.
Given numbers are 428,724,724,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,724,724,312 is 6042504.
Find LCM of 428,724,724,312 with Prime Factorization
| 2 | 428, 724, 724, 312 |
| 2 | 214, 362, 362, 156 |
| 181 | 107, 181, 181, 78 |
| 107, 1, 1, 78 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 181 x 107 x 1 x 1 x 78 = 6042504
Therefore, the lowest common multiple of 428,724,724,312 is 6042504.
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.
428 x 724 x 724 x 312 = 69996366336
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.
428 : 1, 2, 4, 107, 214, 428
724 : 1, 2, 4, 181, 362, 724
724 : 1, 2, 4, 181, 362, 724
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,724,724,312, is 4.
Now, the common factors can be found like this.
428:2x 2x 107
724:2x 2x 181
724:2x 2x 181
312:2x 2x 2x 3x 13
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 181 = 2896
Therefore, the value for common factors is 2896.
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 = 69996366336/(4x2896)
LCM = 69996366336/11584
LCM = 6042504
Thus, we can understand that the LCM of 428,724,724,312 is 6042504.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 428, 724, 724, 312
1. What is the LCM of 428, 724, 724, 312?
Answer: LCM of 428, 724, 724, 312 is 6042504.
2. How to calculate the LCM of 428, 724, 724, 312?
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 428, 724, 724, 312.
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}.