LCM of 196, 583, 627, 695, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 196, 583, 627, 695, 640 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 196, 583, 627, 695, 640. So, keep reading to learn more.
Given numbers are 196,583,627,695,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 196,583,627,695,640 is 144855258240.
Find LCM of 196,583,627,695,640 with Prime Factorization
| 2 | 196, 583, 627, 695, 640 |
| 2 | 98, 583, 627, 695, 320 |
| 5 | 49, 583, 627, 695, 160 |
| 11 | 49, 583, 627, 139, 32 |
| 49, 53, 57, 139, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 49 x 53 x 57 x 139 x 32 = 144855258240
Therefore, the lowest common multiple of 196,583,627,695,640 is 144855258240.
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.
196 x 583 x 627 x 695 x 640 = 31868156812800
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.
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
583 : 1, 11, 53, 583
627 : 1, 3, 11, 19, 33, 57, 209, 627
695 : 1, 5, 139, 695
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 196,583,627,695,640, is 1.
Now, the common factors can be found like this.
196:2x 2x 7x 7
583:11x 53
627:3x 11x 19
695:5x 139
640:2x 2x 2x 2x 2x 2x 2x 5
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 11 = 220
Therefore, the value for common factors is 220.
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 = 31868156812800/(1x220)
LCM = 31868156812800/220
LCM = 144855258240
Thus, we can understand that the LCM of 196,583,627,695,640 is 144855258240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 196, 583, 627, 695, 640
1. What is the LCM of 196, 583, 627, 695, 640?
Answer: LCM of 196, 583, 627, 695, 640 is 144855258240.
2. How to calculate the LCM of 196, 583, 627, 695, 640?
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 196, 583, 627, 695, 640.
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}.