LCM of 694, 794, 440, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 794, 440, 120 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, 794, 440, 120. So, keep reading to learn more.
Given numbers are 694,794,440,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,794,440,120 is 181841880.
Find LCM of 694,794,440,120 with Prime Factorization
| 2 | 694, 794, 440, 120 |
| 2 | 347, 397, 220, 60 |
| 2 | 347, 397, 110, 30 |
| 5 | 347, 397, 55, 15 |
| 347, 397, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 347 x 397 x 11 x 3 = 181841880
Therefore, the lowest common multiple of 694,794,440,120 is 181841880.
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 794 x 440 x 120 = 29094700800
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
794 : 1, 2, 397, 794
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,794,440,120, is 2.
Now, the common factors can be found like this.
694:2x 347
794:2x 397
440:2x 2x 2x 5x 11
120:2x 2x 2x 3x 5
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 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 29094700800/(2x80)
LCM = 29094700800/160
LCM = 181841880
Thus, we can understand that the LCM of 694,794,440,120 is 181841880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 694, 794, 440, 120
1. What is the LCM of 694, 794, 440, 120?
Answer: LCM of 694, 794, 440, 120 is 181841880.
2. How to calculate the LCM of 694, 794, 440, 120?
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, 794, 440, 120.
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}.