LCM of 403, 642, 286, 689, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 642, 286, 689, 848 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 403, 642, 286, 689, 848. So, keep reading to learn more.
Given numbers are 403,642,286,689,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,642,286,689,848 is 1206698064.
Find LCM of 403,642,286,689,848 with Prime Factorization
| 2 | 403, 642, 286, 689, 848 |
| 13 | 403, 321, 143, 689, 424 |
| 53 | 31, 321, 11, 53, 424 |
| 31, 321, 11, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 53 x 31 x 321 x 11 x 1 x 8 = 1206698064
Therefore, the lowest common multiple of 403,642,286,689,848 is 1206698064.
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.
403 x 642 x 286 x 689 x 848 = 43233578236992
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.
403 : 1, 13, 31, 403
642 : 1, 2, 3, 6, 107, 214, 321, 642
286 : 1, 2, 11, 13, 22, 26, 143, 286
689 : 1, 13, 53, 689
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,642,286,689,848, is 1.
Now, the common factors can be found like this.
403:13x 31
642:2x 3x 107
286:2x 11x 13
689:13x 53
848:2x 2x 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 13x 13x 53 = 35828
Therefore, the value for common factors is 35828.
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 = 43233578236992/(1x35828)
LCM = 43233578236992/35828
LCM = 1206698064
Thus, we can understand that the LCM of 403,642,286,689,848 is 1206698064.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 642, 286, 689, 848
1. What is the LCM of 403, 642, 286, 689, 848?
Answer: LCM of 403, 642, 286, 689, 848 is 1206698064.
2. How to calculate the LCM of 403, 642, 286, 689, 848?
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 403, 642, 286, 689, 848.
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}.