LCM of 848, 212, 269, 416, 941
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 212, 269, 416, 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 848, 212, 269, 416, 941. So, keep reading to learn more.
Given numbers are 848,212,269,416,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,212,269,416,941 is 5580988192.
Find LCM of 848,212,269,416,941 with Prime Factorization
| 2 | 848, 212, 269, 416, 941 |
| 2 | 424, 106, 269, 208, 941 |
| 2 | 212, 53, 269, 104, 941 |
| 2 | 106, 53, 269, 52, 941 |
| 53 | 53, 53, 269, 26, 941 |
| 1, 1, 269, 26, 941 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 53 x 1 x 1 x 269 x 26 x 941 = 5580988192
Therefore, the lowest common multiple of 848,212,269,416,941 is 5580988192.
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.
848 x 212 x 269 x 416 x 941 = 18930711947264
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
212 : 1, 2, 4, 53, 106, 212
269 : 1, 269
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,212,269,416,941, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
212:2x 2x 53
269:269
416:2x 2x 2x 2x 2x 13
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 2x 2x 2x 53 = 3392
Therefore, the value for common factors is 3392.
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 = 18930711947264/(1x3392)
LCM = 18930711947264/3392
LCM = 5580988192
Thus, we can understand that the LCM of 848,212,269,416,941 is 5580988192.
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FAQs on LCM of 848, 212, 269, 416, 941
1. What is the LCM of 848, 212, 269, 416, 941?
Answer: LCM of 848, 212, 269, 416, 941 is 5580988192.
2. How to calculate the LCM of 848, 212, 269, 416, 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 848, 212, 269, 416, 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}.