LCM of 616, 568, 223, 141, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 568, 223, 141, 308 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 616, 568, 223, 141, 308. So, keep reading to learn more.
Given numbers are 616,568,223,141,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,568,223,141,308 is 1375191048.
Find LCM of 616,568,223,141,308 with Prime Factorization
| 2 | 616, 568, 223, 141, 308 |
| 2 | 308, 284, 223, 141, 154 |
| 2 | 77, 142, 223, 141, 154 |
| 7 | 77, 71, 223, 141, 77 |
| 11 | 11, 71, 223, 141, 11 |
| 1, 71, 223, 141, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 1 x 71 x 223 x 141 x 1 = 1375191048
Therefore, the lowest common multiple of 616,568,223,141,308 is 1375191048.
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.
616 x 568 x 223 x 141 x 308 = 3388470742272
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
568 : 1, 2, 4, 8, 71, 142, 284, 568
223 : 1, 223
141 : 1, 3, 47, 141
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,568,223,141,308, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
568:2x 2x 2x 71
223:223
141:3x 47
308:2x 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 2x 2x 2x 7x 11 = 2464
Therefore, the value for common factors is 2464.
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 = 3388470742272/(1x2464)
LCM = 3388470742272/2464
LCM = 1375191048
Thus, we can understand that the LCM of 616,568,223,141,308 is 1375191048.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 616, 568, 223, 141, 308
1. What is the LCM of 616, 568, 223, 141, 308?
Answer: LCM of 616, 568, 223, 141, 308 is 1375191048.
2. How to calculate the LCM of 616, 568, 223, 141, 308?
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 616, 568, 223, 141, 308.
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}.