LCM of 695, 217, 420, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 217, 420, 616 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 695, 217, 420, 616. So, keep reading to learn more.
Given numbers are 695,217,420,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,217,420,616 is 39815160.
Find LCM of 695,217,420,616 with Prime Factorization
| 2 | 695, 217, 420, 616 |
| 2 | 695, 217, 210, 308 |
| 5 | 695, 217, 105, 154 |
| 7 | 139, 217, 21, 154 |
| 139, 31, 3, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 139 x 31 x 3 x 22 = 39815160
Therefore, the lowest common multiple of 695,217,420,616 is 39815160.
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.
695 x 217 x 420 x 616 = 39018856800
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.
695 : 1, 5, 139, 695
217 : 1, 7, 31, 217
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
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,217,420,616, is 1.
Now, the common factors can be found like this.
695:5x 139
217:7x 31
420:2x 2x 3x 5x 7
616:2x 2x 2x 7x 11
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 5x 7x 7 = 980
Therefore, the value for common factors is 980.
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 = 39018856800/(1x980)
LCM = 39018856800/980
LCM = 39815160
Thus, we can understand that the LCM of 695,217,420,616 is 39815160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 695, 217, 420, 616
1. What is the LCM of 695, 217, 420, 616?
Answer: LCM of 695, 217, 420, 616 is 39815160.
2. How to calculate the LCM of 695, 217, 420, 616?
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 695, 217, 420, 616.
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}.