LCM of 496, 428, 749, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 428, 749, 816 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 496, 428, 749, 816. So, keep reading to learn more.
Given numbers are 496,428,749,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,428,749,816 is 18946704.
Find LCM of 496,428,749,816 with Prime Factorization
| 2 | 496, 428, 749, 816 |
| 2 | 248, 214, 749, 408 |
| 2 | 124, 107, 749, 204 |
| 2 | 62, 107, 749, 102 |
| 107 | 31, 107, 749, 51 |
| 31, 1, 7, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 107 x 31 x 1 x 7 x 51 = 18946704
Therefore, the lowest common multiple of 496,428,749,816 is 18946704.
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.
496 x 428 x 749 x 816 = 129747028992
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
428 : 1, 2, 4, 107, 214, 428
749 : 1, 7, 107, 749
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,428,749,816, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
428:2x 2x 107
749:7x 107
816:2x 2x 2x 2x 3x 17
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 2x 107 = 6848
Therefore, the value for common factors is 6848.
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 = 129747028992/(1x6848)
LCM = 129747028992/6848
LCM = 18946704
Thus, we can understand that the LCM of 496,428,749,816 is 18946704.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 496, 428, 749, 816
1. What is the LCM of 496, 428, 749, 816?
Answer: LCM of 496, 428, 749, 816 is 18946704.
2. How to calculate the LCM of 496, 428, 749, 816?
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 496, 428, 749, 816.
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}.