LCM of 269, 988, 704, 548, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 988, 704, 548, 632 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 269, 988, 704, 548, 632. So, keep reading to learn more.
Given numbers are 269,988,704,548,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,988,704,548,632 is 506255262656.
Find LCM of 269,988,704,548,632 with Prime Factorization
| 2 | 269, 988, 704, 548, 632 |
| 2 | 269, 494, 352, 274, 316 |
| 2 | 269, 247, 176, 137, 158 |
| 269, 247, 88, 137, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 269 x 247 x 88 x 137 x 79 = 506255262656
Therefore, the lowest common multiple of 269,988,704,548,632 is 506255262656.
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.
269 x 988 x 704 x 548 x 632 = 64800673619968
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.
269 : 1, 269
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
548 : 1, 2, 4, 137, 274, 548
632 : 1, 2, 4, 8, 79, 158, 316, 632
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,988,704,548,632, is 1.
Now, the common factors can be found like this.
269:269
988:2x 2x 13x 19
704:2x 2x 2x 2x 2x 2x 11
548:2x 2x 137
632:2x 2x 2x 79
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 2 = 128
Therefore, the value for common factors is 128.
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 = 64800673619968/(1x128)
LCM = 64800673619968/128
LCM = 506255262656
Thus, we can understand that the LCM of 269,988,704,548,632 is 506255262656.
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FAQs on LCM of 269, 988, 704, 548, 632
1. What is the LCM of 269, 988, 704, 548, 632?
Answer: LCM of 269, 988, 704, 548, 632 is 506255262656.
2. How to calculate the LCM of 269, 988, 704, 548, 632?
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 269, 988, 704, 548, 632.
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}.