LCM of 688, 946, 180, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 946, 180, 796 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 688, 946, 180, 796. So, keep reading to learn more.
Given numbers are 688,946,180,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,946,180,796 is 67771440.
Find LCM of 688,946,180,796 with Prime Factorization
| 2 | 688, 946, 180, 796 |
| 2 | 344, 473, 90, 398 |
| 43 | 172, 473, 45, 199 |
| 4, 11, 45, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 4 x 11 x 45 x 199 = 67771440
Therefore, the lowest common multiple of 688,946,180,796 is 67771440.
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.
688 x 946 x 180 x 796 = 93253501440
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
946 : 1, 2, 11, 22, 43, 86, 473, 946
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
796 : 1, 2, 4, 199, 398, 796
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,946,180,796, is 2.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
946:2x 11x 43
180:2x 2x 3x 3x 5
796:2x 2x 199
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 43 = 688
Therefore, the value for common factors is 688.
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 = 93253501440/(2x688)
LCM = 93253501440/1376
LCM = 67771440
Thus, we can understand that the LCM of 688,946,180,796 is 67771440.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 688, 946, 180, 796
1. What is the LCM of 688, 946, 180, 796?
Answer: LCM of 688, 946, 180, 796 is 67771440.
2. How to calculate the LCM of 688, 946, 180, 796?
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 688, 946, 180, 796.
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}.