LCM of 228, 461, 798, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 228, 461, 798, 954 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 228, 461, 798, 954. So, keep reading to learn more.
Given numbers are 228,461,798,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,461,798,954 is 116985204.
Find LCM of 228,461,798,954 with Prime Factorization
| 2 | 228, 461, 798, 954 |
| 3 | 114, 461, 399, 477 |
| 19 | 38, 461, 133, 159 |
| 2, 461, 7, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 2 x 461 x 7 x 159 = 116985204
Therefore, the lowest common multiple of 228,461,798,954 is 116985204.
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.
228 x 461 x 798 x 954 = 80017879536
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.
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
461 : 1, 461
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,461,798,954, is 1.
Now, the common factors can be found like this.
228:2x 2x 3x 19
461:461
798:2x 3x 7x 19
954:2x 3x 3x 53
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 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 80017879536/(1x684)
LCM = 80017879536/684
LCM = 116985204
Thus, we can understand that the LCM of 228,461,798,954 is 116985204.
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FAQs on LCM of 228, 461, 798, 954
1. What is the LCM of 228, 461, 798, 954?
Answer: LCM of 228, 461, 798, 954 is 116985204.
2. How to calculate the LCM of 228, 461, 798, 954?
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 228, 461, 798, 954.
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}.