LCM of 935, 930, 713, 767, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 930, 713, 767, 242 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 935, 930, 713, 767, 242. So, keep reading to learn more.
Given numbers are 935,930,713,767,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,930,713,767,242 is 33747409410.
Find LCM of 935,930,713,767,242 with Prime Factorization
| 2 | 935, 930, 713, 767, 242 |
| 5 | 935, 465, 713, 767, 121 |
| 11 | 187, 93, 713, 767, 121 |
| 31 | 17, 93, 713, 767, 11 |
| 17, 3, 23, 767, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 31 x 17 x 3 x 23 x 767 x 11 = 33747409410
Therefore, the lowest common multiple of 935,930,713,767,242 is 33747409410.
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.
935 x 930 x 713 x 767 x 242 = 115078666088100
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
713 : 1, 23, 31, 713
767 : 1, 13, 59, 767
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,930,713,767,242, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
930:2x 3x 5x 31
713:23x 31
767:13x 59
242:2x 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 5x 11x 31 = 3410
Therefore, the value for common factors is 3410.
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 = 115078666088100/(1x3410)
LCM = 115078666088100/3410
LCM = 33747409410
Thus, we can understand that the LCM of 935,930,713,767,242 is 33747409410.
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FAQs on LCM of 935, 930, 713, 767, 242
1. What is the LCM of 935, 930, 713, 767, 242?
Answer: LCM of 935, 930, 713, 767, 242 is 33747409410.
2. How to calculate the LCM of 935, 930, 713, 767, 242?
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 935, 930, 713, 767, 242.
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}.