LCM of 484, 461, 672, 516, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 461, 672, 516, 852 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 484, 461, 672, 516, 852. So, keep reading to learn more.
Given numbers are 484,461,672,516,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,461,672,516,852 is 114441192096.
Find LCM of 484,461,672,516,852 with Prime Factorization
| 2 | 484, 461, 672, 516, 852 |
| 2 | 242, 461, 336, 258, 426 |
| 3 | 121, 461, 168, 129, 213 |
| 121, 461, 56, 43, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 121 x 461 x 56 x 43 x 71 = 114441192096
Therefore, the lowest common multiple of 484,461,672,516,852 is 114441192096.
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.
484 x 461 x 672 x 516 x 852 = 65918126647296
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
461 : 1, 461
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,461,672,516,852, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
461:461
672:2x 2x 2x 2x 2x 3x 7
516:2x 2x 3x 43
852:2x 2x 3x 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 2x 2x 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 65918126647296/(1x576)
LCM = 65918126647296/576
LCM = 114441192096
Thus, we can understand that the LCM of 484,461,672,516,852 is 114441192096.
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FAQs on LCM of 484, 461, 672, 516, 852
1. What is the LCM of 484, 461, 672, 516, 852?
Answer: LCM of 484, 461, 672, 516, 852 is 114441192096.
2. How to calculate the LCM of 484, 461, 672, 516, 852?
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 484, 461, 672, 516, 852.
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}.