LCM of 207, 560, 698, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 207, 560, 698, 138 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 207, 560, 698, 138. So, keep reading to learn more.
Given numbers are 207,560,698,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 207,560,698,138 is 40456080.
Find LCM of 207,560,698,138 with Prime Factorization
| 2 | 207, 560, 698, 138 |
| 3 | 207, 280, 349, 69 |
| 23 | 23, 280, 349, 69 |
| 1, 280, 349, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 1 x 280 x 349 x 3 = 40456080
Therefore, the lowest common multiple of 207,560,698,138 is 40456080.
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.
207 x 560 x 698 x 138 = 11165878080
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.
207 : 1, 3, 9, 23, 69, 207
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
698 : 1, 2, 349, 698
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,560,698,138, is 1.
Now, the common factors can be found like this.
207:3x 3x 23
560:2x 2x 2x 2x 5x 7
698:2x 349
138:2x 3x 23
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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 11165878080/(1x276)
LCM = 11165878080/276
LCM = 40456080
Thus, we can understand that the LCM of 207,560,698,138 is 40456080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 207, 560, 698, 138
1. What is the LCM of 207, 560, 698, 138?
Answer: LCM of 207, 560, 698, 138 is 40456080.
2. How to calculate the LCM of 207, 560, 698, 138?
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 207, 560, 698, 138.
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}.