LCM of 482, 892, 496, 892, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 892, 496, 892, 893 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 482, 892, 496, 892, 893. So, keep reading to learn more.
Given numbers are 482,892,496,892,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,892,496,892,893 is 23804279504.
Find LCM of 482,892,496,892,893 with Prime Factorization
| 2 | 482, 892, 496, 892, 893 |
| 2 | 241, 446, 248, 446, 893 |
| 223 | 241, 223, 124, 223, 893 |
| 241, 1, 124, 1, 893 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 223 x 241 x 1 x 124 x 1 x 893 = 23804279504
Therefore, the lowest common multiple of 482,892,496,892,893 is 23804279504.
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.
482 x 892 x 496 x 892 x 893 = 169867338540544
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.
482 : 1, 2, 241, 482
892 : 1, 2, 4, 223, 446, 892
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
892 : 1, 2, 4, 223, 446, 892
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,892,496,892,893, is 1.
Now, the common factors can be found like this.
482:2x 241
892:2x 2x 223
496:2x 2x 2x 2x 31
892:2x 2x 223
893:19x 47
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 223 = 7136
Therefore, the value for common factors is 7136.
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 = 169867338540544/(1x7136)
LCM = 169867338540544/7136
LCM = 23804279504
Thus, we can understand that the LCM of 482,892,496,892,893 is 23804279504.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 482, 892, 496, 892, 893
1. What is the LCM of 482, 892, 496, 892, 893?
Answer: LCM of 482, 892, 496, 892, 893 is 23804279504.
2. How to calculate the LCM of 482, 892, 496, 892, 893?
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 482, 892, 496, 892, 893.
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}.