LCM of 228, 312, 260, 922
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 228, 312, 260, 922 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, 312, 260, 922. So, keep reading to learn more.
Given numbers are 228,312,260,922
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,312,260,922 is 13664040.
Find LCM of 228,312,260,922 with Prime Factorization
| 2 | 228, 312, 260, 922 |
| 2 | 114, 156, 130, 461 |
| 3 | 57, 78, 65, 461 |
| 13 | 19, 26, 65, 461 |
| 19, 2, 5, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 2 x 5 x 461 = 13664040
Therefore, the lowest common multiple of 228,312,260,922 is 13664040.
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 312 x 260 x 922 = 17052721920
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
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
922 : 1, 2, 461, 922
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,312,260,922, is 2.
Now, the common factors can be found like this.
228:2x 2x 3x 19
312:2x 2x 2x 3x 13
260:2x 2x 5x 13
922:2x 461
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 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 17052721920/(2x624)
LCM = 17052721920/1248
LCM = 13664040
Thus, we can understand that the LCM of 228,312,260,922 is 13664040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 228, 312, 260, 922
1. What is the LCM of 228, 312, 260, 922?
Answer: LCM of 228, 312, 260, 922 is 13664040.
2. How to calculate the LCM of 228, 312, 260, 922?
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, 312, 260, 922.
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}.