LCM of 694, 561, 420, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 561, 420, 514 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, 561, 420, 514. So, keep reading to learn more.
Given numbers are 694,561,420,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,561,420,514 is 7004118660.
Find LCM of 694,561,420,514 with Prime Factorization
| 2 | 694, 561, 420, 514 |
| 3 | 347, 561, 210, 257 |
| 347, 187, 70, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 347 x 187 x 70 x 257 = 7004118660
Therefore, the lowest common multiple of 694,561,420,514 is 7004118660.
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 561 x 420 x 514 = 84049423920
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
561 : 1, 3, 11, 17, 33, 51, 187, 561
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,561,420,514, is 1.
Now, the common factors can be found like this.
694:2x 347
561:3x 11x 17
420:2x 2x 3x 5x 7
514:2x 257
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 3 = 12
Therefore, the value for common factors is 12.
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 = 84049423920/(1x12)
LCM = 84049423920/12
LCM = 7004118660
Thus, we can understand that the LCM of 694,561,420,514 is 7004118660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 694, 561, 420, 514
1. What is the LCM of 694, 561, 420, 514?
Answer: LCM of 694, 561, 420, 514 is 7004118660.
2. How to calculate the LCM of 694, 561, 420, 514?
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, 561, 420, 514.
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}.