LCM of 994, 497, 965, 364, 879
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 497, 965, 364, 879 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, 497, 965, 364, 879. So, keep reading to learn more.
Given numbers are 994,497,965,364,879
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,497,965,364,879 is 21921785340.
Find LCM of 994,497,965,364,879 with Prime Factorization
| 2 | 994, 497, 965, 364, 879 |
| 7 | 497, 497, 965, 182, 879 |
| 71 | 71, 71, 965, 26, 879 |
| 1, 1, 965, 26, 879 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 71 x 1 x 1 x 965 x 26 x 879 = 21921785340
Therefore, the lowest common multiple of 994,497,965,364,879 is 21921785340.
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 497 x 965 x 364 x 879 = 152531782395720
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
497 : 1, 7, 71, 497
965 : 1, 5, 193, 965
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
879 : 1, 3, 293, 879
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,497,965,364,879, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
497:7x 71
965:5x 193
364:2x 2x 7x 13
879:3x 293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 71 = 6958
Therefore, the value for common factors is 6958.
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 = 152531782395720/(1x6958)
LCM = 152531782395720/6958
LCM = 21921785340
Thus, we can understand that the LCM of 994,497,965,364,879 is 21921785340.
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FAQs on LCM of 994, 497, 965, 364, 879
1. What is the LCM of 994, 497, 965, 364, 879?
Answer: LCM of 994, 497, 965, 364, 879 is 21921785340.
2. How to calculate the LCM of 994, 497, 965, 364, 879?
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, 497, 965, 364, 879.
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}.