LCM of 428, 849, 402, 719, 566
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 849, 402, 719, 566 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, 849, 402, 719, 566. So, keep reading to learn more.
Given numbers are 428,849,402,719,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,849,402,719,566 is 17504719356.
Find LCM of 428,849,402,719,566 with Prime Factorization
| 2 | 428, 849, 402, 719, 566 |
| 3 | 214, 849, 201, 719, 283 |
| 283 | 214, 283, 67, 719, 283 |
| 214, 1, 67, 719, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 283 x 214 x 1 x 67 x 719 x 1 = 17504719356
Therefore, the lowest common multiple of 428,849,402,719,566 is 17504719356.
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 849 x 402 x 719 x 566 = 59446026932976
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
849 : 1, 3, 283, 849
402 : 1, 2, 3, 6, 67, 134, 201, 402
719 : 1, 719
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,849,402,719,566, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
849:3x 283
402:2x 3x 67
719:719
566:2x 283
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 3x 283 = 3396
Therefore, the value for common factors is 3396.
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 = 59446026932976/(1x3396)
LCM = 59446026932976/3396
LCM = 17504719356
Thus, we can understand that the LCM of 428,849,402,719,566 is 17504719356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 428, 849, 402, 719, 566
1. What is the LCM of 428, 849, 402, 719, 566?
Answer: LCM of 428, 849, 402, 719, 566 is 17504719356.
2. How to calculate the LCM of 428, 849, 402, 719, 566?
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, 849, 402, 719, 566.
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}.