LCM of 694, 374, 574, 42
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 374, 574, 42 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, 374, 574, 42. So, keep reading to learn more.
Given numbers are 694,374,574,42
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,374,574,42 is 111738858.
Find LCM of 694,374,574,42 with Prime Factorization
| 2 | 694, 374, 574, 42 |
| 7 | 347, 187, 287, 21 |
| 347, 187, 41, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 347 x 187 x 41 x 3 = 111738858
Therefore, the lowest common multiple of 694,374,574,42 is 111738858.
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 374 x 574 x 42 = 6257376048
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
374 : 1, 2, 11, 17, 22, 34, 187, 374
574 : 1, 2, 7, 14, 41, 82, 287, 574
42 : 1, 2, 3, 6, 7, 14, 21, 42
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,374,574,42, is 2.
Now, the common factors can be found like this.
694:2x 347
374:2x 11x 17
574:2x 7x 41
42:2x 3x 7
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 7 = 28
Therefore, the value for common factors is 28.
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 = 6257376048/(2x28)
LCM = 6257376048/56
LCM = 111738858
Thus, we can understand that the LCM of 694,374,574,42 is 111738858.
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FAQs on LCM of 694, 374, 574, 42
1. What is the LCM of 694, 374, 574, 42?
Answer: LCM of 694, 374, 574, 42 is 111738858.
2. How to calculate the LCM of 694, 374, 574, 42?
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, 374, 574, 42.
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}.