LCM of 242, 938, 144, 707, 188
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 938, 144, 707, 188 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, 938, 144, 707, 188. So, keep reading to learn more.
Given numbers are 242,938,144,707,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,938,144,707,188 is 38791800432.
Find LCM of 242,938,144,707,188 with Prime Factorization
| 2 | 242, 938, 144, 707, 188 |
| 2 | 121, 469, 72, 707, 94 |
| 7 | 121, 469, 36, 707, 47 |
| 121, 67, 36, 101, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 121 x 67 x 36 x 101 x 47 = 38791800432
Therefore, the lowest common multiple of 242,938,144,707,188 is 38791800432.
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 938 x 144 x 707 x 188 = 4344681648384
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
938 : 1, 2, 7, 14, 67, 134, 469, 938
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
707 : 1, 7, 101, 707
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,938,144,707,188, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
938:2x 7x 67
144:2x 2x 2x 2x 3x 3
707:7x 101
188:2x 2x 47
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 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 4344681648384/(1x112)
LCM = 4344681648384/112
LCM = 38791800432
Thus, we can understand that the LCM of 242,938,144,707,188 is 38791800432.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 242, 938, 144, 707, 188
1. What is the LCM of 242, 938, 144, 707, 188?
Answer: LCM of 242, 938, 144, 707, 188 is 38791800432.
2. How to calculate the LCM of 242, 938, 144, 707, 188?
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, 938, 144, 707, 188.
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}.