Find the LCM of 302, 440, 792, 236, 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 302, 440, 792, 236, 242. So, keep reading to learn more.
Given numbers are 302,440,792,236,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,440,792,236,242 is 388076040.
Find LCM of 302,440,792,236,242 with Prime Factorization
2 | 302, 440, 792, 236, 242 |
2 | 151, 220, 396, 118, 121 |
2 | 151, 110, 198, 59, 121 |
11 | 151, 55, 99, 59, 121 |
151, 5, 9, 59, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 151 x 5 x 9 x 59 x 11 = 388076040
Therefore, the lowest common multiple of 302,440,792,236,242 is 388076040.
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.
302 x 440 x 792 x 236 x 242 = 6010521707520
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.
302 : 1, 2, 151, 302
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
236 : 1, 2, 4, 59, 118, 236
242 : 1, 2, 11, 22, 121, 242
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,440,792,236,242, is 2.
Now, the common factors can be found like this.
302:2x 151
440:2x 2x 2x 5x 11
792:2x 2x 2x 3x 3x 11
236:2x 2x 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 2x 2x 2x 2x 2x 11x 11 = 7744
Therefore, the value for common factors is 7744.
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 = 6010521707520/(2x7744)
LCM = 6010521707520/15488
LCM = 388076040
Thus, we can understand that the LCM of 302,440,792,236,242 is 388076040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 302, 440, 792, 236, 242?
Answer: LCM of 302, 440, 792, 236, 242 is 388076040.
2. How to calculate the LCM of 302, 440, 792, 236, 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 302, 440, 792, 236, 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}.