Find the LCM of 242, 748, 115, 660, 941 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 242, 748, 115, 660, 941. So, keep reading to learn more.
Given numbers are 242,748,115,660,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,748,115,660,941 is 2671179060.
Find LCM of 242,748,115,660,941 with Prime Factorization
2 | 242, 748, 115, 660, 941 |
2 | 121, 374, 115, 330, 941 |
5 | 121, 187, 115, 165, 941 |
11 | 121, 187, 23, 33, 941 |
11, 17, 23, 3, 941 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 11 x 17 x 23 x 3 x 941 = 2671179060
Therefore, the lowest common multiple of 242,748,115,660,941 is 2671179060.
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.
242 x 748 x 115 x 660 x 941 = 12928506650400
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.
242 : 1, 2, 11, 22, 121, 242
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
115 : 1, 5, 23, 115
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,748,115,660,941, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
748:2x 2x 11x 17
115:5x 23
660:2x 2x 3x 5x 11
941:941
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 2x 5x 11x 11 = 4840
Therefore, the value for common factors is 4840.
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 = 12928506650400/(1x4840)
LCM = 12928506650400/4840
LCM = 2671179060
Thus, we can understand that the LCM of 242,748,115,660,941 is 2671179060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 242, 748, 115, 660, 941?
Answer: LCM of 242, 748, 115, 660, 941 is 2671179060.
2. How to calculate the LCM of 242, 748, 115, 660, 941?
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 242, 748, 115, 660, 941.
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}.