LCM of 994, 738, 948, 529, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 738, 948, 529, 902 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, 738, 948, 529, 902. So, keep reading to learn more.
Given numbers are 994,738,948,529,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,738,948,529,902 is 337223781972.
Find LCM of 994,738,948,529,902 with Prime Factorization
| 2 | 994, 738, 948, 529, 902 |
| 3 | 497, 369, 474, 529, 451 |
| 41 | 497, 123, 158, 529, 451 |
| 497, 3, 158, 529, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 497 x 3 x 158 x 529 x 11 = 337223781972
Therefore, the lowest common multiple of 994,738,948,529,902 is 337223781972.
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 738 x 948 x 529 x 902 = 331828201460448
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
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
529 : 1, 23, 529
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,738,948,529,902, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
738:2x 3x 3x 41
948:2x 2x 3x 79
529:23x 23
902:2x 11x 41
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 3x 41 = 984
Therefore, the value for common factors is 984.
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 = 331828201460448/(1x984)
LCM = 331828201460448/984
LCM = 337223781972
Thus, we can understand that the LCM of 994,738,948,529,902 is 337223781972.
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FAQs on LCM of 994, 738, 948, 529, 902
1. What is the LCM of 994, 738, 948, 529, 902?
Answer: LCM of 994, 738, 948, 529, 902 is 337223781972.
2. How to calculate the LCM of 994, 738, 948, 529, 902?
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, 738, 948, 529, 902.
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}.