LCM of 168, 982, 491, 755, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 982, 491, 755, 708 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 168, 982, 491, 755, 708. So, keep reading to learn more.
Given numbers are 168,982,491,755,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,982,491,755,708 is 3674427960.
Find LCM of 168,982,491,755,708 with Prime Factorization
| 2 | 168, 982, 491, 755, 708 |
| 2 | 84, 491, 491, 755, 354 |
| 3 | 42, 491, 491, 755, 177 |
| 491 | 14, 491, 491, 755, 59 |
| 14, 1, 1, 755, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 491 x 14 x 1 x 1 x 755 x 59 = 3674427960
Therefore, the lowest common multiple of 168,982,491,755,708 is 3674427960.
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.
168 x 982 x 491 x 755 x 708 = 43299459080640
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
982 : 1, 2, 491, 982
491 : 1, 491
755 : 1, 5, 151, 755
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,982,491,755,708, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
982:2x 491
491:491
755:5x 151
708:2x 2x 3x 59
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 3x 491 = 11784
Therefore, the value for common factors is 11784.
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 = 43299459080640/(1x11784)
LCM = 43299459080640/11784
LCM = 3674427960
Thus, we can understand that the LCM of 168,982,491,755,708 is 3674427960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 168, 982, 491, 755, 708
1. What is the LCM of 168, 982, 491, 755, 708?
Answer: LCM of 168, 982, 491, 755, 708 is 3674427960.
2. How to calculate the LCM of 168, 982, 491, 755, 708?
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 168, 982, 491, 755, 708.
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}.