LCM of 532, 381, 384, 263, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 381, 384, 263, 762 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 532, 381, 384, 263, 762. So, keep reading to learn more.
Given numbers are 532,381,384,263,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,381,384,263,762 is 1705855872.
Find LCM of 532,381,384,263,762 with Prime Factorization
| 2 | 532, 381, 384, 263, 762 |
| 2 | 266, 381, 192, 263, 381 |
| 3 | 133, 381, 96, 263, 381 |
| 127 | 133, 127, 32, 263, 127 |
| 133, 1, 32, 263, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 127 x 133 x 1 x 32 x 263 x 1 = 1705855872
Therefore, the lowest common multiple of 532,381,384,263,762 is 1705855872.
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.
532 x 381 x 384 x 263 x 762 = 15598346093568
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
381 : 1, 3, 127, 381
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
263 : 1, 263
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,381,384,263,762, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
381:3x 127
384:2x 2x 2x 2x 2x 2x 2x 3
263:263
762:2x 3x 127
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 3x 3x 127 = 9144
Therefore, the value for common factors is 9144.
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 = 15598346093568/(1x9144)
LCM = 15598346093568/9144
LCM = 1705855872
Thus, we can understand that the LCM of 532,381,384,263,762 is 1705855872.
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FAQs on LCM of 532, 381, 384, 263, 762
1. What is the LCM of 532, 381, 384, 263, 762?
Answer: LCM of 532, 381, 384, 263, 762 is 1705855872.
2. How to calculate the LCM of 532, 381, 384, 263, 762?
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 532, 381, 384, 263, 762.
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}.