LCM of 538, 220, 240, 940, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 220, 240, 940, 300 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 538, 220, 240, 940, 300. So, keep reading to learn more.
Given numbers are 538,220,240,940,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,220,240,940,300 is 166887600.
Find LCM of 538,220,240,940,300 with Prime Factorization
| 2 | 538, 220, 240, 940, 300 |
| 2 | 269, 110, 120, 470, 150 |
| 3 | 269, 55, 60, 235, 75 |
| 5 | 269, 55, 20, 235, 25 |
| 269, 11, 4, 47, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 269 x 11 x 4 x 47 x 5 = 166887600
Therefore, the lowest common multiple of 538,220,240,940,300 is 166887600.
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.
538 x 220 x 240 x 940 x 300 = 8010604800000
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.
538 : 1, 2, 269, 538
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,220,240,940,300, is 2.
Now, the common factors can be found like this.
538:2x 269
220:2x 2x 5x 11
240:2x 2x 2x 2x 3x 5
940:2x 2x 5x 47
300:2x 2x 3x 5x 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 2x 2x 3x 5x 5x 5 = 24000
Therefore, the value for common factors is 24000.
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 = 8010604800000/(2x24000)
LCM = 8010604800000/48000
LCM = 166887600
Thus, we can understand that the LCM of 538,220,240,940,300 is 166887600.
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FAQs on LCM of 538, 220, 240, 940, 300
1. What is the LCM of 538, 220, 240, 940, 300?
Answer: LCM of 538, 220, 240, 940, 300 is 166887600.
2. How to calculate the LCM of 538, 220, 240, 940, 300?
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 538, 220, 240, 940, 300.
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}.