LCM of 848, 557, 654, 429, 484
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 557, 654, 429, 484 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, 557, 654, 429, 484. So, keep reading to learn more.
Given numbers are 848,557,654,429,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,557,654,429,484 is 242955940656.
Find LCM of 848,557,654,429,484 with Prime Factorization
| 2 | 848, 557, 654, 429, 484 |
| 2 | 424, 557, 327, 429, 242 |
| 3 | 212, 557, 327, 429, 121 |
| 11 | 212, 557, 109, 143, 121 |
| 212, 557, 109, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 212 x 557 x 109 x 13 x 11 = 242955940656
Therefore, the lowest common multiple of 848,557,654,429,484 is 242955940656.
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 557 x 654 x 429 x 484 = 64140368333184
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
557 : 1, 557
654 : 1, 2, 3, 6, 109, 218, 327, 654
429 : 1, 3, 11, 13, 33, 39, 143, 429
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,557,654,429,484, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
557:557
654:2x 3x 109
429:3x 11x 13
484:2x 2x 11x 11
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 64140368333184/(1x264)
LCM = 64140368333184/264
LCM = 242955940656
Thus, we can understand that the LCM of 848,557,654,429,484 is 242955940656.
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FAQs on LCM of 848, 557, 654, 429, 484
1. What is the LCM of 848, 557, 654, 429, 484?
Answer: LCM of 848, 557, 654, 429, 484 is 242955940656.
2. How to calculate the LCM of 848, 557, 654, 429, 484?
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, 557, 654, 429, 484.
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}.