LCM of 421, 897, 848, 689, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 421, 897, 848, 689, 982 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 421, 897, 848, 689, 982. So, keep reading to learn more.
Given numbers are 421,897,848,689,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,897,848,689,982 is 157235962416.
Find LCM of 421,897,848,689,982 with Prime Factorization
| 2 | 421, 897, 848, 689, 982 |
| 13 | 421, 897, 424, 689, 491 |
| 53 | 421, 69, 424, 53, 491 |
| 421, 69, 8, 1, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 53 x 421 x 69 x 8 x 1 x 491 = 157235962416
Therefore, the lowest common multiple of 421,897,848,689,982 is 157235962416.
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.
421 x 897 x 848 x 689 x 982 = 216671156209248
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.
421 : 1, 421
897 : 1, 3, 13, 23, 39, 69, 299, 897
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
689 : 1, 13, 53, 689
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,897,848,689,982, is 1.
Now, the common factors can be found like this.
421:421
897:3x 13x 23
848:2x 2x 2x 2x 53
689:13x 53
982:2x 491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 53 = 1378
Therefore, the value for common factors is 1378.
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 = 216671156209248/(1x1378)
LCM = 216671156209248/1378
LCM = 157235962416
Thus, we can understand that the LCM of 421,897,848,689,982 is 157235962416.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 421, 897, 848, 689, 982
1. What is the LCM of 421, 897, 848, 689, 982?
Answer: LCM of 421, 897, 848, 689, 982 is 157235962416.
2. How to calculate the LCM of 421, 897, 848, 689, 982?
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 421, 897, 848, 689, 982.
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}.