LCM of 270, 192, 762, 467
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 270, 192, 762, 467 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 270, 192, 762, 467. So, keep reading to learn more.
Given numbers are 270,192,762,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,192,762,467 is 512429760.
Find LCM of 270,192,762,467 with Prime Factorization
| 2 | 270, 192, 762, 467 |
| 3 | 135, 96, 381, 467 |
| 45, 32, 127, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 45 x 32 x 127 x 467 = 512429760
Therefore, the lowest common multiple of 270,192,762,467 is 512429760.
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.
270 x 192 x 762 x 467 = 18447471360
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.
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
762 : 1, 2, 3, 6, 127, 254, 381, 762
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,192,762,467, is 1.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
192:2x 2x 2x 2x 2x 2x 3
762:2x 3x 127
467:467
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 3 = 36
Therefore, the value for common factors is 36.
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 = 18447471360/(1x36)
LCM = 18447471360/36
LCM = 512429760
Thus, we can understand that the LCM of 270,192,762,467 is 512429760.
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FAQs on LCM of 270, 192, 762, 467
1. What is the LCM of 270, 192, 762, 467?
Answer: LCM of 270, 192, 762, 467 is 512429760.
2. How to calculate the LCM of 270, 192, 762, 467?
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 270, 192, 762, 467.
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}.