LCM of 970, 684, 970, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 684, 970, 213 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 970, 684, 970, 213. So, keep reading to learn more.
Given numbers are 970,684,970,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,684,970,213 is 23553540.
Find LCM of 970,684,970,213 with Prime Factorization
| 2 | 970, 684, 970, 213 |
| 3 | 485, 342, 485, 213 |
| 5 | 485, 114, 485, 71 |
| 97 | 97, 114, 97, 71 |
| 1, 114, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 97 x 1 x 114 x 1 x 71 = 23553540
Therefore, the lowest common multiple of 970,684,970,213 is 23553540.
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.
970 x 684 x 970 x 213 = 137081602800
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
970 : 1, 2, 5, 10, 97, 194, 485, 970
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,684,970,213, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
684:2x 2x 3x 3x 19
970:2x 5x 97
213:3x 71
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 3x 5x 97 = 5820
Therefore, the value for common factors is 5820.
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 = 137081602800/(1x5820)
LCM = 137081602800/5820
LCM = 23553540
Thus, we can understand that the LCM of 970,684,970,213 is 23553540.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 970, 684, 970, 213
1. What is the LCM of 970, 684, 970, 213?
Answer: LCM of 970, 684, 970, 213 is 23553540.
2. How to calculate the LCM of 970, 684, 970, 213?
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 970, 684, 970, 213.
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}.