LCM of 994, 876, 377, 852, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 876, 377, 852, 364 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 994, 876, 377, 852, 364. So, keep reading to learn more.
Given numbers are 994,876,377,852,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,876,377,852,364 is 164135244.
Find LCM of 994,876,377,852,364 with Prime Factorization
| 2 | 994, 876, 377, 852, 364 |
| 2 | 497, 438, 377, 426, 182 |
| 3 | 497, 219, 377, 213, 91 |
| 7 | 497, 73, 377, 71, 91 |
| 13 | 71, 73, 377, 71, 13 |
| 71 | 71, 73, 29, 71, 1 |
| 1, 73, 29, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 71 x 1 x 73 x 29 x 1 x 1 = 164135244
Therefore, the lowest common multiple of 994,876,377,852,364 is 164135244.
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.
994 x 876 x 377 x 852 x 364 = 101805869902464
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.
994 : 1, 2, 7, 14, 71, 142, 497, 994
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
377 : 1, 13, 29, 377
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,876,377,852,364, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
876:2x 2x 3x 73
377:13x 29
852:2x 2x 3x 71
364:2x 2x 7x 13
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 3x 7x 13x 71 = 620256
Therefore, the value for common factors is 620256.
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 = 101805869902464/(1x620256)
LCM = 101805869902464/620256
LCM = 164135244
Thus, we can understand that the LCM of 994,876,377,852,364 is 164135244.
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FAQs on LCM of 994, 876, 377, 852, 364
1. What is the LCM of 994, 876, 377, 852, 364?
Answer: LCM of 994, 876, 377, 852, 364 is 164135244.
2. How to calculate the LCM of 994, 876, 377, 852, 364?
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 994, 876, 377, 852, 364.
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}.