LCM of 866, 652, 698, 834, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 866, 652, 698, 834, 660 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 866, 652, 698, 834, 660. So, keep reading to learn more.
Given numbers are 866,652,698,834,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,652,698,834,660 is 2259746193540.
Find LCM of 866,652,698,834,660 with Prime Factorization
| 2 | 866, 652, 698, 834, 660 |
| 2 | 433, 326, 349, 417, 330 |
| 3 | 433, 163, 349, 417, 165 |
| 433, 163, 349, 139, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 433 x 163 x 349 x 139 x 55 = 2259746193540
Therefore, the lowest common multiple of 866,652,698,834,660 is 2259746193540.
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.
866 x 652 x 698 x 834 x 660 = 216935634579840
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.
866 : 1, 2, 433, 866
652 : 1, 2, 4, 163, 326, 652
698 : 1, 2, 349, 698
834 : 1, 2, 3, 6, 139, 278, 417, 834
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,652,698,834,660, is 2.
Now, the common factors can be found like this.
866:2x 433
652:2x 2x 163
698:2x 349
834:2x 3x 139
660:2x 2x 3x 5x 11
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 3 = 48
Therefore, the value for common factors is 48.
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 = 216935634579840/(2x48)
LCM = 216935634579840/96
LCM = 2259746193540
Thus, we can understand that the LCM of 866,652,698,834,660 is 2259746193540.
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FAQs on LCM of 866, 652, 698, 834, 660
1. What is the LCM of 866, 652, 698, 834, 660?
Answer: LCM of 866, 652, 698, 834, 660 is 2259746193540.
2. How to calculate the LCM of 866, 652, 698, 834, 660?
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 866, 652, 698, 834, 660.
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}.