LCM of 668, 686, 748, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 686, 748, 980 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 668, 686, 748, 980. So, keep reading to learn more.
Given numbers are 668,686,748,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,686,748,980 is 214230940.
Find LCM of 668,686,748,980 with Prime Factorization
| 2 | 668, 686, 748, 980 |
| 2 | 334, 343, 374, 490 |
| 7 | 167, 343, 187, 245 |
| 7 | 167, 49, 187, 35 |
| 167, 7, 187, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 167 x 7 x 187 x 5 = 214230940
Therefore, the lowest common multiple of 668,686,748,980 is 214230940.
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.
668 x 686 x 748 x 980 = 335914113920
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.
668 : 1, 2, 4, 167, 334, 668
686 : 1, 2, 7, 14, 49, 98, 343, 686
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,686,748,980, is 2.
Now, the common factors can be found like this.
668:2x 2x 167
686:2x 7x 7x 7
748:2x 2x 11x 17
980:2x 2x 5x 7x 7
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 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 335914113920/(2x784)
LCM = 335914113920/1568
LCM = 214230940
Thus, we can understand that the LCM of 668,686,748,980 is 214230940.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 668, 686, 748, 980
1. What is the LCM of 668, 686, 748, 980?
Answer: LCM of 668, 686, 748, 980 is 214230940.
2. How to calculate the LCM of 668, 686, 748, 980?
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 668, 686, 748, 980.
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}.