LCM of 428, 716, 396, 107, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 716, 396, 107, 654 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, 716, 396, 107, 654. So, keep reading to learn more.
Given numbers are 428,716,396,107,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,716,396,107,654 is 826720092.
Find LCM of 428,716,396,107,654 with Prime Factorization
| 2 | 428, 716, 396, 107, 654 |
| 2 | 214, 358, 198, 107, 327 |
| 3 | 107, 179, 99, 107, 327 |
| 107 | 107, 179, 33, 107, 109 |
| 1, 179, 33, 1, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 1 x 179 x 33 x 1 x 109 = 826720092
Therefore, the lowest common multiple of 428,716,396,107,654 is 826720092.
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 716 x 396 x 107 x 654 = 8492068785024
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
716 : 1, 2, 4, 179, 358, 716
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
107 : 1, 107
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,716,396,107,654, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
716:2x 2x 179
396:2x 2x 3x 3x 11
107:107
654:2x 3x 109
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 107 = 10272
Therefore, the value for common factors is 10272.
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 = 8492068785024/(1x10272)
LCM = 8492068785024/10272
LCM = 826720092
Thus, we can understand that the LCM of 428,716,396,107,654 is 826720092.
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FAQs on LCM of 428, 716, 396, 107, 654
1. What is the LCM of 428, 716, 396, 107, 654?
Answer: LCM of 428, 716, 396, 107, 654 is 826720092.
2. How to calculate the LCM of 428, 716, 396, 107, 654?
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, 716, 396, 107, 654.
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}.