LCM of 961, 614, 140, 124, 838
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 614, 140, 124, 838 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 961, 614, 140, 124, 838. So, keep reading to learn more.
Given numbers are 961,614,140,124,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,614,140,124,838 is 17306283820.
Find LCM of 961,614,140,124,838 with Prime Factorization
| 2 | 961, 614, 140, 124, 838 |
| 2 | 961, 307, 70, 62, 419 |
| 31 | 961, 307, 35, 31, 419 |
| 1, 307, 35, 31, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 1 x 307 x 35 x 31 x 419 = 17306283820
Therefore, the lowest common multiple of 961,614,140,124,838 is 17306283820.
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.
961 x 614 x 140 x 124 x 838 = 8583916774720
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.
961 : 1, 31, 961
614 : 1, 2, 307, 614
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
124 : 1, 2, 4, 31, 62, 124
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,614,140,124,838, is 1.
Now, the common factors can be found like this.
961:31x 31
614:2x 307
140:2x 2x 5x 7
124:2x 2x 31
838:2x 419
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 31 = 496
Therefore, the value for common factors is 496.
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 = 8583916774720/(1x496)
LCM = 8583916774720/496
LCM = 17306283820
Thus, we can understand that the LCM of 961,614,140,124,838 is 17306283820.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 961, 614, 140, 124, 838
1. What is the LCM of 961, 614, 140, 124, 838?
Answer: LCM of 961, 614, 140, 124, 838 is 17306283820.
2. How to calculate the LCM of 961, 614, 140, 124, 838?
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 961, 614, 140, 124, 838.
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}.