LCM of 635, 591, 209, 300, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 591, 209, 300, 979 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 635, 591, 209, 300, 979. So, keep reading to learn more.
Given numbers are 635,591,209,300,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,591,209,300,979 is 139613525700.
Find LCM of 635,591,209,300,979 with Prime Factorization
| 3 | 635, 591, 209, 300, 979 |
| 5 | 635, 197, 209, 100, 979 |
| 11 | 127, 197, 209, 20, 979 |
| 127, 197, 19, 20, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 127 x 197 x 19 x 20 x 89 = 139613525700
Therefore, the lowest common multiple of 635,591,209,300,979 is 139613525700.
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.
635 x 591 x 209 x 300 x 979 = 23036231740500
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.
635 : 1, 5, 127, 635
591 : 1, 3, 197, 591
209 : 1, 11, 19, 209
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,591,209,300,979, is 1.
Now, the common factors can be found like this.
635:5x 127
591:3x 197
209:11x 19
300:2x 2x 3x 5x 5
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 23036231740500/(1x165)
LCM = 23036231740500/165
LCM = 139613525700
Thus, we can understand that the LCM of 635,591,209,300,979 is 139613525700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 635, 591, 209, 300, 979
1. What is the LCM of 635, 591, 209, 300, 979?
Answer: LCM of 635, 591, 209, 300, 979 is 139613525700.
2. How to calculate the LCM of 635, 591, 209, 300, 979?
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 635, 591, 209, 300, 979.
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}.