LCM of 202, 935, 779, 740, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 202, 935, 779, 740, 726 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 202, 935, 779, 740, 726. So, keep reading to learn more.
Given numbers are 202,935,779,740,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,935,779,740,726 is 359290800660.
Find LCM of 202,935,779,740,726 with Prime Factorization
| 2 | 202, 935, 779, 740, 726 |
| 5 | 101, 935, 779, 370, 363 |
| 11 | 101, 187, 779, 74, 363 |
| 101, 17, 779, 74, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 101 x 17 x 779 x 74 x 33 = 359290800660
Therefore, the lowest common multiple of 202,935,779,740,726 is 359290800660.
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.
202 x 935 x 779 x 740 x 726 = 79043976145200
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.
202 : 1, 2, 101, 202
935 : 1, 5, 11, 17, 55, 85, 187, 935
779 : 1, 19, 41, 779
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,935,779,740,726, is 1.
Now, the common factors can be found like this.
202:2x 101
935:5x 11x 17
779:19x 41
740:2x 2x 5x 37
726:2x 3x 11x 11
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 79043976145200/(1x220)
LCM = 79043976145200/220
LCM = 359290800660
Thus, we can understand that the LCM of 202,935,779,740,726 is 359290800660.
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FAQs on LCM of 202, 935, 779, 740, 726
1. What is the LCM of 202, 935, 779, 740, 726?
Answer: LCM of 202, 935, 779, 740, 726 is 359290800660.
2. How to calculate the LCM of 202, 935, 779, 740, 726?
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 202, 935, 779, 740, 726.
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}.