LCM of 831, 429, 974, 663, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 831, 429, 974, 663, 988 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 831, 429, 974, 663, 988. So, keep reading to learn more.
Given numbers are 831,429,974,663,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,429,974,663,988 is 74770198932.
Find LCM of 831,429,974,663,988 with Prime Factorization
| 2 | 831, 429, 974, 663, 988 |
| 3 | 831, 429, 487, 663, 494 |
| 13 | 277, 143, 487, 221, 494 |
| 277, 11, 487, 17, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 277 x 11 x 487 x 17 x 38 = 74770198932
Therefore, the lowest common multiple of 831,429,974,663,988 is 74770198932.
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.
831 x 429 x 974 x 663 x 988 = 227450945151144
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.
831 : 1, 3, 277, 831
429 : 1, 3, 11, 13, 33, 39, 143, 429
974 : 1, 2, 487, 974
663 : 1, 3, 13, 17, 39, 51, 221, 663
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,429,974,663,988, is 1.
Now, the common factors can be found like this.
831:3x 277
429:3x 11x 13
974:2x 487
663:3x 13x 17
988:2x 2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 13 = 3042
Therefore, the value for common factors is 3042.
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 = 227450945151144/(1x3042)
LCM = 227450945151144/3042
LCM = 74770198932
Thus, we can understand that the LCM of 831,429,974,663,988 is 74770198932.
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FAQs on LCM of 831, 429, 974, 663, 988
1. What is the LCM of 831, 429, 974, 663, 988?
Answer: LCM of 831, 429, 974, 663, 988 is 74770198932.
2. How to calculate the LCM of 831, 429, 974, 663, 988?
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 831, 429, 974, 663, 988.
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}.