LCM of 690, 659, 212, 322, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 659, 212, 322, 970 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 690, 659, 212, 322, 970. So, keep reading to learn more.
Given numbers are 690,659,212,322,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,659,212,322,970 is 32727297540.
Find LCM of 690,659,212,322,970 with Prime Factorization
| 2 | 690, 659, 212, 322, 970 |
| 5 | 345, 659, 106, 161, 485 |
| 23 | 69, 659, 106, 161, 97 |
| 3, 659, 106, 7, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 3 x 659 x 106 x 7 x 97 = 32727297540
Therefore, the lowest common multiple of 690,659,212,322,970 is 32727297540.
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.
690 x 659 x 212 x 322 x 970 = 30109113736800
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
659 : 1, 659
212 : 1, 2, 4, 53, 106, 212
322 : 1, 2, 7, 14, 23, 46, 161, 322
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,659,212,322,970, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
659:659
212:2x 2x 53
322:2x 7x 23
970:2x 5x 97
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 5x 23 = 920
Therefore, the value for common factors is 920.
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 = 30109113736800/(1x920)
LCM = 30109113736800/920
LCM = 32727297540
Thus, we can understand that the LCM of 690,659,212,322,970 is 32727297540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 690, 659, 212, 322, 970
1. What is the LCM of 690, 659, 212, 322, 970?
Answer: LCM of 690, 659, 212, 322, 970 is 32727297540.
2. How to calculate the LCM of 690, 659, 212, 322, 970?
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 690, 659, 212, 322, 970.
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}.