LCM of 740, 601, 847, 779, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 601, 847, 779, 209 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 740, 601, 847, 779, 209. So, keep reading to learn more.
Given numbers are 740,601,847,779,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,601,847,779,209 is 293445233620.
Find LCM of 740,601,847,779,209 with Prime Factorization
| 11 | 740, 601, 847, 779, 209 |
| 19 | 740, 601, 77, 779, 19 |
| 740, 601, 77, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 740 x 601 x 77 x 41 x 1 = 293445233620
Therefore, the lowest common multiple of 740,601,847,779,209 is 293445233620.
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.
740 x 601 x 847 x 779 x 209 = 61330053826580
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
601 : 1, 601
847 : 1, 7, 11, 77, 121, 847
779 : 1, 19, 41, 779
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,601,847,779,209, is 1.
Now, the common factors can be found like this.
740:2x 2x 5x 37
601:601
847:7x 11x 11
779:19x 41
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19 = 209
Therefore, the value for common factors is 209.
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 = 61330053826580/(1x209)
LCM = 61330053826580/209
LCM = 293445233620
Thus, we can understand that the LCM of 740,601,847,779,209 is 293445233620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 740, 601, 847, 779, 209
1. What is the LCM of 740, 601, 847, 779, 209?
Answer: LCM of 740, 601, 847, 779, 209 is 293445233620.
2. How to calculate the LCM of 740, 601, 847, 779, 209?
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 740, 601, 847, 779, 209.
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}.