LCM of 689, 138, 400, 251, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 138, 400, 251, 840 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 689, 138, 400, 251, 840. So, keep reading to learn more.
Given numbers are 689,138,400,251,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,138,400,251,840 is 33411814800.
Find LCM of 689,138,400,251,840 with Prime Factorization
| 2 | 689, 138, 400, 251, 840 |
| 2 | 689, 69, 200, 251, 420 |
| 2 | 689, 69, 100, 251, 210 |
| 3 | 689, 69, 50, 251, 105 |
| 5 | 689, 23, 50, 251, 35 |
| 689, 23, 10, 251, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 689 x 23 x 10 x 251 x 7 = 33411814800
Therefore, the lowest common multiple of 689,138,400,251,840 is 33411814800.
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.
689 x 138 x 400 x 251 x 840 = 8018835552000
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.
689 : 1, 13, 53, 689
138 : 1, 2, 3, 6, 23, 46, 69, 138
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
251 : 1, 251
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,138,400,251,840, is 1.
Now, the common factors can be found like this.
689:13x 53
138:2x 3x 23
400:2x 2x 2x 2x 5x 5
251:251
840:2x 2x 2x 3x 5x 7
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 8018835552000/(1x240)
LCM = 8018835552000/240
LCM = 33411814800
Thus, we can understand that the LCM of 689,138,400,251,840 is 33411814800.
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FAQs on LCM of 689, 138, 400, 251, 840
1. What is the LCM of 689, 138, 400, 251, 840?
Answer: LCM of 689, 138, 400, 251, 840 is 33411814800.
2. How to calculate the LCM of 689, 138, 400, 251, 840?
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 689, 138, 400, 251, 840.
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}.