LCM of 902, 396, 364, 195, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 396, 364, 195, 968 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 902, 396, 364, 195, 968. So, keep reading to learn more.
Given numbers are 902,396,364,195,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,396,364,195,968 is 162522360.
Find LCM of 902,396,364,195,968 with Prime Factorization
| 2 | 902, 396, 364, 195, 968 |
| 2 | 451, 198, 182, 195, 484 |
| 3 | 451, 99, 91, 195, 242 |
| 11 | 451, 33, 91, 65, 242 |
| 13 | 41, 3, 91, 65, 22 |
| 41, 3, 7, 5, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 41 x 3 x 7 x 5 x 22 = 162522360
Therefore, the lowest common multiple of 902,396,364,195,968 is 162522360.
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.
902 x 396 x 364 x 195 x 968 = 24542176538880
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
195 : 1, 3, 5, 13, 15, 39, 65, 195
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,396,364,195,968, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
396:2x 2x 3x 3x 11
364:2x 2x 7x 13
195:3x 5x 13
968:2x 2x 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 3x 11x 11x 13 = 151008
Therefore, the value for common factors is 151008.
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 = 24542176538880/(1x151008)
LCM = 24542176538880/151008
LCM = 162522360
Thus, we can understand that the LCM of 902,396,364,195,968 is 162522360.
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FAQs on LCM of 902, 396, 364, 195, 968
1. What is the LCM of 902, 396, 364, 195, 968?
Answer: LCM of 902, 396, 364, 195, 968 is 162522360.
2. How to calculate the LCM of 902, 396, 364, 195, 968?
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 902, 396, 364, 195, 968.
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}.