LCM of 848, 762, 371, 212
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 762, 371, 212 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, 762, 371, 212. So, keep reading to learn more.
Given numbers are 848,762,371,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,762,371,212 is 2261616.
Find LCM of 848,762,371,212 with Prime Factorization
| 2 | 848, 762, 371, 212 |
| 2 | 424, 381, 371, 106 |
| 53 | 212, 381, 371, 53 |
| 4, 381, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 4 x 381 x 7 x 1 = 2261616
Therefore, the lowest common multiple of 848,762,371,212 is 2261616.
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 762 x 371 x 212 = 50823034752
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
762 : 1, 2, 3, 6, 127, 254, 381, 762
371 : 1, 7, 53, 371
212 : 1, 2, 4, 53, 106, 212
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,762,371,212, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
762:2x 3x 127
371:7x 53
212:2x 2x 53
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 53x 53 = 22472
Therefore, the value for common factors is 22472.
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 = 50823034752/(1x22472)
LCM = 50823034752/22472
LCM = 2261616
Thus, we can understand that the LCM of 848,762,371,212 is 2261616.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 848, 762, 371, 212
1. What is the LCM of 848, 762, 371, 212?
Answer: LCM of 848, 762, 371, 212 is 2261616.
2. How to calculate the LCM of 848, 762, 371, 212?
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, 762, 371, 212.
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}.