LCM of 573, 764, 215, 978, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 764, 215, 978, 339 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 573, 764, 215, 978, 339. So, keep reading to learn more.
Given numbers are 573,764,215,978,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,764,215,978,339 is 9076514820.
Find LCM of 573,764,215,978,339 with Prime Factorization
| 2 | 573, 764, 215, 978, 339 |
| 3 | 573, 382, 215, 489, 339 |
| 191 | 191, 382, 215, 163, 113 |
| 1, 2, 215, 163, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 191 x 1 x 2 x 215 x 163 x 113 = 9076514820
Therefore, the lowest common multiple of 573,764,215,978,339 is 9076514820.
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.
573 x 764 x 215 x 978 x 339 = 31205057951160
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.
573 : 1, 3, 191, 573
764 : 1, 2, 4, 191, 382, 764
215 : 1, 5, 43, 215
978 : 1, 2, 3, 6, 163, 326, 489, 978
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,764,215,978,339, is 1.
Now, the common factors can be found like this.
573:3x 191
764:2x 2x 191
215:5x 43
978:2x 3x 163
339:3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 191 = 3438
Therefore, the value for common factors is 3438.
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 = 31205057951160/(1x3438)
LCM = 31205057951160/3438
LCM = 9076514820
Thus, we can understand that the LCM of 573,764,215,978,339 is 9076514820.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 573, 764, 215, 978, 339
1. What is the LCM of 573, 764, 215, 978, 339?
Answer: LCM of 573, 764, 215, 978, 339 is 9076514820.
2. How to calculate the LCM of 573, 764, 215, 978, 339?
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 573, 764, 215, 978, 339.
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}.