LCM of 228, 962, 430, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 228, 962, 430, 104 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, 962, 430, 104. So, keep reading to learn more.
Given numbers are 228,962,430,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,962,430,104 is 47157240.
Find LCM of 228,962,430,104 with Prime Factorization
| 2 | 228, 962, 430, 104 |
| 2 | 114, 481, 215, 52 |
| 13 | 57, 481, 215, 26 |
| 57, 37, 215, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 57 x 37 x 215 x 2 = 47157240
Therefore, the lowest common multiple of 228,962,430,104 is 47157240.
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 962 x 430 x 104 = 9808705920
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
962 : 1, 2, 13, 26, 37, 74, 481, 962
430 : 1, 2, 5, 10, 43, 86, 215, 430
104 : 1, 2, 4, 8, 13, 26, 52, 104
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,962,430,104, is 2.
Now, the common factors can be found like this.
228:2x 2x 3x 19
962:2x 13x 37
430:2x 5x 43
104:2x 2x 2x 13
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 13 = 104
Therefore, the value for common factors is 104.
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 = 9808705920/(2x104)
LCM = 9808705920/208
LCM = 47157240
Thus, we can understand that the LCM of 228,962,430,104 is 47157240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 228, 962, 430, 104
1. What is the LCM of 228, 962, 430, 104?
Answer: LCM of 228, 962, 430, 104 is 47157240.
2. How to calculate the LCM of 228, 962, 430, 104?
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, 962, 430, 104.
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}.