LCM of 798, 418, 334, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 798, 418, 334, 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 798, 418, 334, 902. So, keep reading to learn more.
Given numbers are 798,418,334,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,418,334,902 is 60102966.
Find LCM of 798,418,334,902 with Prime Factorization
| 2 | 798, 418, 334, 902 |
| 11 | 399, 209, 167, 451 |
| 19 | 399, 19, 167, 41 |
| 21, 1, 167, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 21 x 1 x 167 x 41 = 60102966
Therefore, the lowest common multiple of 798,418,334,902 is 60102966.
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.
798 x 418 x 334 x 902 = 100492159152
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
418 : 1, 2, 11, 19, 22, 38, 209, 418
334 : 1, 2, 167, 334
902 : 1, 2, 11, 22, 41, 82, 451, 902
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,418,334,902, is 2.
Now, the common factors can be found like this.
798:2x 3x 7x 19
418:2x 11x 19
334:2x 167
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 100492159152/(2x836)
LCM = 100492159152/1672
LCM = 60102966
Thus, we can understand that the LCM of 798,418,334,902 is 60102966.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 798, 418, 334, 902
1. What is the LCM of 798, 418, 334, 902?
Answer: LCM of 798, 418, 334, 902 is 60102966.
2. How to calculate the LCM of 798, 418, 334, 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 798, 418, 334, 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}.