LCM of 281, 133, 240, 228, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 281, 133, 240, 228, 540 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 281, 133, 240, 228, 540. So, keep reading to learn more.
Given numbers are 281,133,240,228,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,133,240,228,540 is 80725680.
Find LCM of 281,133,240,228,540 with Prime Factorization
| 2 | 281, 133, 240, 228, 540 |
| 2 | 281, 133, 120, 114, 270 |
| 3 | 281, 133, 60, 57, 135 |
| 5 | 281, 133, 20, 19, 45 |
| 19 | 281, 133, 4, 19, 9 |
| 281, 7, 4, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 281 x 7 x 4 x 1 x 9 = 80725680
Therefore, the lowest common multiple of 281,133,240,228,540 is 80725680.
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.
281 x 133 x 240 x 228 x 540 = 1104327302400
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.
281 : 1, 281
133 : 1, 7, 19, 133
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,133,240,228,540, is 1.
Now, the common factors can be found like this.
281:281
133:7x 19
240:2x 2x 2x 2x 3x 5
228:2x 2x 3x 19
540:2x 2x 3x 3x 3x 5
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 3x 5x 19 = 13680
Therefore, the value for common factors is 13680.
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 = 1104327302400/(1x13680)
LCM = 1104327302400/13680
LCM = 80725680
Thus, we can understand that the LCM of 281,133,240,228,540 is 80725680.
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FAQs on LCM of 281, 133, 240, 228, 540
1. What is the LCM of 281, 133, 240, 228, 540?
Answer: LCM of 281, 133, 240, 228, 540 is 80725680.
2. How to calculate the LCM of 281, 133, 240, 228, 540?
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 281, 133, 240, 228, 540.
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}.