LCM of 848, 452, 994, 497
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 452, 994, 497 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 848, 452, 994, 497. So, keep reading to learn more.
Given numbers are 848,452,994,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,452,994,497 is 47624528.
Find LCM of 848,452,994,497 with Prime Factorization
| 2 | 848, 452, 994, 497 |
| 2 | 424, 226, 497, 497 |
| 7 | 212, 113, 497, 497 |
| 71 | 212, 113, 71, 71 |
| 212, 113, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 71 x 212 x 113 x 1 x 1 = 47624528
Therefore, the lowest common multiple of 848,452,994,497 is 47624528.
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.
848 x 452 x 994 x 497 = 189355123328
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
452 : 1, 2, 4, 113, 226, 452
994 : 1, 2, 7, 14, 71, 142, 497, 994
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,452,994,497, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
452:2x 2x 113
994:2x 7x 71
497:7x 71
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 7x 71 = 3976
Therefore, the value for common factors is 3976.
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 = 189355123328/(1x3976)
LCM = 189355123328/3976
LCM = 47624528
Thus, we can understand that the LCM of 848,452,994,497 is 47624528.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 848, 452, 994, 497
1. What is the LCM of 848, 452, 994, 497?
Answer: LCM of 848, 452, 994, 497 is 47624528.
2. How to calculate the LCM of 848, 452, 994, 497?
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 848, 452, 994, 497.
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}.