LCM of 694, 838, 833, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 838, 833, 498 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 694, 838, 833, 498. So, keep reading to learn more.
Given numbers are 694,838,833,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,838,833,498 is 60313959762.
Find LCM of 694,838,833,498 with Prime Factorization
| 2 | 694, 838, 833, 498 |
| 347, 419, 833, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 347 x 419 x 833 x 249 = 60313959762
Therefore, the lowest common multiple of 694,838,833,498 is 60313959762.
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.
694 x 838 x 833 x 498 = 241255839048
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.
694 : 1, 2, 347, 694
838 : 1, 2, 419, 838
833 : 1, 7, 17, 49, 119, 833
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,838,833,498, is 1.
Now, the common factors can be found like this.
694:2x 347
838:2x 419
833:7x 7x 17
498:2x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 241255839048/(1x4)
LCM = 241255839048/4
LCM = 60313959762
Thus, we can understand that the LCM of 694,838,833,498 is 60313959762.
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FAQs on LCM of 694, 838, 833, 498
1. What is the LCM of 694, 838, 833, 498?
Answer: LCM of 694, 838, 833, 498 is 60313959762.
2. How to calculate the LCM of 694, 838, 833, 498?
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 694, 838, 833, 498.
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}.