LCM of 561, 770, 750, 238, 898
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 770, 750, 238, 898 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 561, 770, 750, 238, 898. So, keep reading to learn more.
Given numbers are 561,770,750,238,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,770,750,238,898 is 440805750.
Find LCM of 561,770,750,238,898 with Prime Factorization
| 2 | 561, 770, 750, 238, 898 |
| 3 | 561, 385, 375, 119, 449 |
| 5 | 187, 385, 125, 119, 449 |
| 7 | 187, 77, 25, 119, 449 |
| 11 | 187, 11, 25, 17, 449 |
| 17 | 17, 1, 25, 17, 449 |
| 1, 1, 25, 1, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 17 x 1 x 1 x 25 x 1 x 449 = 440805750
Therefore, the lowest common multiple of 561,770,750,238,898 is 440805750.
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.
561 x 770 x 750 x 238 x 898 = 69241767210000
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
238 : 1, 2, 7, 14, 17, 34, 119, 238
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,770,750,238,898, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
770:2x 5x 7x 11
750:2x 3x 5x 5x 5
238:2x 7x 17
898:2x 449
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 3x 5x 7x 11x 17 = 157080
Therefore, the value for common factors is 157080.
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 = 69241767210000/(1x157080)
LCM = 69241767210000/157080
LCM = 440805750
Thus, we can understand that the LCM of 561,770,750,238,898 is 440805750.
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FAQs on LCM of 561, 770, 750, 238, 898
1. What is the LCM of 561, 770, 750, 238, 898?
Answer: LCM of 561, 770, 750, 238, 898 is 440805750.
2. How to calculate the LCM of 561, 770, 750, 238, 898?
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 561, 770, 750, 238, 898.
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}.