LCM of 695, 589, 414, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 589, 414, 310 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, 589, 414, 310. So, keep reading to learn more.
Given numbers are 695,589,414,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,589,414,310 is 169472970.
Find LCM of 695,589,414,310 with Prime Factorization
| 2 | 695, 589, 414, 310 |
| 5 | 695, 589, 207, 155 |
| 31 | 139, 589, 207, 31 |
| 139, 19, 207, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 139 x 19 x 207 x 1 = 169472970
Therefore, the lowest common multiple of 695,589,414,310 is 169472970.
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 589 x 414 x 310 = 52536620700
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
589 : 1, 19, 31, 589
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,589,414,310, is 1.
Now, the common factors can be found like this.
695:5x 139
589:19x 31
414:2x 3x 3x 23
310:2x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 31 = 310
Therefore, the value for common factors is 310.
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 = 52536620700/(1x310)
LCM = 52536620700/310
LCM = 169472970
Thus, we can understand that the LCM of 695,589,414,310 is 169472970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 695, 589, 414, 310
1. What is the LCM of 695, 589, 414, 310?
Answer: LCM of 695, 589, 414, 310 is 169472970.
2. How to calculate the LCM of 695, 589, 414, 310?
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, 589, 414, 310.
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}.