LCM of 645, 285, 912, 922, 298
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 285, 912, 922, 298 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 645, 285, 912, 922, 298. So, keep reading to learn more.
Given numbers are 645,285,912,922,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,285,912,922,298 is 13468539120.
Find LCM of 645,285,912,922,298 with Prime Factorization
| 2 | 645, 285, 912, 922, 298 |
| 3 | 645, 285, 456, 461, 149 |
| 5 | 215, 95, 152, 461, 149 |
| 19 | 43, 19, 152, 461, 149 |
| 43, 1, 8, 461, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 43 x 1 x 8 x 461 x 149 = 13468539120
Therefore, the lowest common multiple of 645,285,912,922,298 is 13468539120.
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.
645 x 285 x 912 x 922 x 298 = 46062403790400
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
285 : 1, 3, 5, 15, 19, 57, 95, 285
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
922 : 1, 2, 461, 922
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,285,912,922,298, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
285:3x 5x 19
912:2x 2x 2x 2x 3x 19
922:2x 461
298:2x 149
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 3x 3x 5x 19 = 3420
Therefore, the value for common factors is 3420.
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 = 46062403790400/(1x3420)
LCM = 46062403790400/3420
LCM = 13468539120
Thus, we can understand that the LCM of 645,285,912,922,298 is 13468539120.
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FAQs on LCM of 645, 285, 912, 922, 298
1. What is the LCM of 645, 285, 912, 922, 298?
Answer: LCM of 645, 285, 912, 922, 298 is 13468539120.
2. How to calculate the LCM of 645, 285, 912, 922, 298?
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 645, 285, 912, 922, 298.
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}.