LCM of 694, 347, 960, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 347, 960, 782 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, 347, 960, 782. So, keep reading to learn more.
Given numbers are 694,347,960,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,347,960,782 is 130249920.
Find LCM of 694,347,960,782 with Prime Factorization
| 2 | 694, 347, 960, 782 |
| 347 | 347, 347, 480, 391 |
| 1, 1, 480, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 347 x 1 x 1 x 480 x 391 = 130249920
Therefore, the lowest common multiple of 694,347,960,782 is 130249920.
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 347 x 960 x 782 = 180786888960
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
347 : 1, 347
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,347,960,782, is 1.
Now, the common factors can be found like this.
694:2x 347
347:347
960:2x 2x 2x 2x 2x 2x 3x 5
782:2x 17x 23
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 347 = 1388
Therefore, the value for common factors is 1388.
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 = 180786888960/(1x1388)
LCM = 180786888960/1388
LCM = 130249920
Thus, we can understand that the LCM of 694,347,960,782 is 130249920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 694, 347, 960, 782
1. What is the LCM of 694, 347, 960, 782?
Answer: LCM of 694, 347, 960, 782 is 130249920.
2. How to calculate the LCM of 694, 347, 960, 782?
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, 347, 960, 782.
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}.