LCM of 994, 379, 938, 636, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 379, 938, 636, 876 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, 379, 938, 636, 876. So, keep reading to learn more.
Given numbers are 994,379,938,636,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,379,938,636,876 is 585936263388.
Find LCM of 994,379,938,636,876 with Prime Factorization
| 2 | 994, 379, 938, 636, 876 |
| 2 | 497, 379, 469, 318, 438 |
| 3 | 497, 379, 469, 159, 219 |
| 7 | 497, 379, 469, 53, 73 |
| 71, 379, 67, 53, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 71 x 379 x 67 x 53 x 73 = 585936263388
Therefore, the lowest common multiple of 994,379,938,636,876 is 585936263388.
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 379 x 938 x 636 x 876 = 196874584498368
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
379 : 1, 379
938 : 1, 2, 7, 14, 67, 134, 469, 938
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,379,938,636,876, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
379:379
938:2x 7x 67
636:2x 2x 3x 53
876:2x 2x 3x 73
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 7 = 336
Therefore, the value for common factors is 336.
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 = 196874584498368/(1x336)
LCM = 196874584498368/336
LCM = 585936263388
Thus, we can understand that the LCM of 994,379,938,636,876 is 585936263388.
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FAQs on LCM of 994, 379, 938, 636, 876
1. What is the LCM of 994, 379, 938, 636, 876?
Answer: LCM of 994, 379, 938, 636, 876 is 585936263388.
2. How to calculate the LCM of 994, 379, 938, 636, 876?
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, 379, 938, 636, 876.
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}.