LCM of 652, 978, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 978, 110 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 652, 978, 110. So, keep reading to learn more.
Given numbers are 652,978,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,978,110 is 107580.
Find LCM of 652,978,110 with Prime Factorization
| 2 | 652, 978, 110 |
| 163 | 326, 489, 55 |
| 2, 3, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 163 x 2 x 3 x 55 = 107580
Therefore, the lowest common multiple of 652,978,110 is 107580.
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.
652 x 978 x 110 = 70142160
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.
652 : 1, 2, 4, 163, 326, 652
978 : 1, 2, 3, 6, 163, 326, 489, 978
110 : 1, 2, 5, 10, 11, 22, 55, 110
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,978,110, is 2.
Now, the common factors can be found like this.
652:2x 2x 163
978:2x 3x 163
110:2x 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 163 = 326
Therefore, the value for common factors is 326.
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 = 70142160/(2x326)
LCM = 70142160/652
LCM = 107580
Thus, we can understand that the LCM of 652,978,110 is 107580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 652, 978, 110
1. What is the LCM of 652, 978, 110?
Answer: LCM of 652, 978, 110 is 107580.
2. How to calculate the LCM of 652, 978, 110?
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 652, 978, 110.
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}.