LCM of 338, 567, 910, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 567, 910, 689 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 338, 567, 910, 689. So, keep reading to learn more.
Given numbers are 338,567,910,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,567,910,689 is 50786190.
Find LCM of 338,567,910,689 with Prime Factorization
| 2 | 338, 567, 910, 689 |
| 7 | 169, 567, 455, 689 |
| 13 | 169, 81, 65, 689 |
| 13, 81, 5, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 13 x 81 x 5 x 53 = 50786190
Therefore, the lowest common multiple of 338,567,910,689 is 50786190.
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.
338 x 567 x 910 x 689 = 120160125540
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.
338 : 1, 2, 13, 26, 169, 338
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,567,910,689, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
567:3x 3x 3x 3x 7
910:2x 5x 7x 13
689:13x 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 7x 13x 13 = 2366
Therefore, the value for common factors is 2366.
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 = 120160125540/(1x2366)
LCM = 120160125540/2366
LCM = 50786190
Thus, we can understand that the LCM of 338,567,910,689 is 50786190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 338, 567, 910, 689
1. What is the LCM of 338, 567, 910, 689?
Answer: LCM of 338, 567, 910, 689 is 50786190.
2. How to calculate the LCM of 338, 567, 910, 689?
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 338, 567, 910, 689.
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}.