LCM of 689, 963, 975, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 963, 975, 314 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 689, 963, 975, 314. So, keep reading to learn more.
Given numbers are 689,963,975,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,963,975,314 is 5208529950.
Find LCM of 689,963,975,314 with Prime Factorization
| 3 | 689, 963, 975, 314 |
| 13 | 689, 321, 325, 314 |
| 53, 321, 25, 314 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 53 x 321 x 25 x 314 = 5208529950
Therefore, the lowest common multiple of 689,963,975,314 is 5208529950.
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.
689 x 963 x 975 x 314 = 203132668050
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.
689 : 1, 13, 53, 689
963 : 1, 3, 9, 107, 321, 963
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,963,975,314, is 1.
Now, the common factors can be found like this.
689:13x 53
963:3x 3x 107
975:3x 5x 5x 13
314:2x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 203132668050/(1x39)
LCM = 203132668050/39
LCM = 5208529950
Thus, we can understand that the LCM of 689,963,975,314 is 5208529950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 963, 975, 314
1. What is the LCM of 689, 963, 975, 314?
Answer: LCM of 689, 963, 975, 314 is 5208529950.
2. How to calculate the LCM of 689, 963, 975, 314?
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 689, 963, 975, 314.
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}.