LCM of 848, 272, 400, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 272, 400, 646 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, 272, 400, 646. So, keep reading to learn more.
Given numbers are 848,272,400,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,272,400,646 is 6847600.
Find LCM of 848,272,400,646 with Prime Factorization
| 2 | 848, 272, 400, 646 |
| 2 | 424, 136, 200, 323 |
| 2 | 212, 68, 100, 323 |
| 2 | 106, 34, 50, 323 |
| 17 | 53, 17, 25, 323 |
| 53, 1, 25, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 53 x 1 x 25 x 19 = 6847600
Therefore, the lowest common multiple of 848,272,400,646 is 6847600.
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 272 x 400 x 646 = 59601510400
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
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
646 : 1, 2, 17, 19, 34, 38, 323, 646
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,272,400,646, is 2.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
272:2x 2x 2x 2x 17
400:2x 2x 2x 2x 5x 5
646:2x 17x 19
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 2x 2x 17 = 4352
Therefore, the value for common factors is 4352.
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 = 59601510400/(2x4352)
LCM = 59601510400/8704
LCM = 6847600
Thus, we can understand that the LCM of 848,272,400,646 is 6847600.
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FAQs on LCM of 848, 272, 400, 646
1. What is the LCM of 848, 272, 400, 646?
Answer: LCM of 848, 272, 400, 646 is 6847600.
2. How to calculate the LCM of 848, 272, 400, 646?
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, 272, 400, 646.
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}.