LCM of 524, 134, 988, 871, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 134, 988, 871, 357 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 524, 134, 988, 871, 357. So, keep reading to learn more.
Given numbers are 524,134,988,871,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,134,988,871,357 is 3095788332.
Find LCM of 524,134,988,871,357 with Prime Factorization
| 2 | 524, 134, 988, 871, 357 |
| 2 | 262, 67, 494, 871, 357 |
| 13 | 131, 67, 247, 871, 357 |
| 67 | 131, 67, 19, 67, 357 |
| 131, 1, 19, 1, 357 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 67 x 131 x 1 x 19 x 1 x 357 = 3095788332
Therefore, the lowest common multiple of 524,134,988,871,357 is 3095788332.
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.
524 x 134 x 988 x 871 x 357 = 21571453097376
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.
524 : 1, 2, 4, 131, 262, 524
134 : 1, 2, 67, 134
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
871 : 1, 13, 67, 871
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,134,988,871,357, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
134:2x 67
988:2x 2x 13x 19
871:13x 67
357:3x 7x 17
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 13x 67 = 6968
Therefore, the value for common factors is 6968.
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 = 21571453097376/(1x6968)
LCM = 21571453097376/6968
LCM = 3095788332
Thus, we can understand that the LCM of 524,134,988,871,357 is 3095788332.
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FAQs on LCM of 524, 134, 988, 871, 357
1. What is the LCM of 524, 134, 988, 871, 357?
Answer: LCM of 524, 134, 988, 871, 357 is 3095788332.
2. How to calculate the LCM of 524, 134, 988, 871, 357?
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 524, 134, 988, 871, 357.
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}.