LCM of 596, 381, 994, 994, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 381, 994, 994, 252 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 596, 381, 994, 994, 252. So, keep reading to learn more.
Given numbers are 596,381,994,994,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,381,994,994,252 is 338570316.
Find LCM of 596,381,994,994,252 with Prime Factorization
| 2 | 596, 381, 994, 994, 252 |
| 2 | 298, 381, 497, 497, 126 |
| 3 | 149, 381, 497, 497, 63 |
| 7 | 149, 127, 497, 497, 21 |
| 71 | 149, 127, 71, 71, 3 |
| 149, 127, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 71 x 149 x 127 x 1 x 1 x 3 = 338570316
Therefore, the lowest common multiple of 596,381,994,994,252 is 338570316.
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.
596 x 381 x 994 x 994 x 252 = 56538534209472
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.
596 : 1, 2, 4, 149, 298, 596
381 : 1, 3, 127, 381
994 : 1, 2, 7, 14, 71, 142, 497, 994
994 : 1, 2, 7, 14, 71, 142, 497, 994
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,381,994,994,252, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
381:3x 127
994:2x 7x 71
994:2x 7x 71
252:2x 2x 3x 3x 7
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 3x 7x 7x 71 = 166992
Therefore, the value for common factors is 166992.
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 = 56538534209472/(1x166992)
LCM = 56538534209472/166992
LCM = 338570316
Thus, we can understand that the LCM of 596,381,994,994,252 is 338570316.
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FAQs on LCM of 596, 381, 994, 994, 252
1. What is the LCM of 596, 381, 994, 994, 252?
Answer: LCM of 596, 381, 994, 994, 252 is 338570316.
2. How to calculate the LCM of 596, 381, 994, 994, 252?
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 596, 381, 994, 994, 252.
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}.