LCM of 961, 812, 978, 652
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 812, 978, 652 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 961, 812, 978, 652. So, keep reading to learn more.
Given numbers are 961,812,978,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,812,978,652 is 381582348.
Find LCM of 961,812,978,652 with Prime Factorization
| 2 | 961, 812, 978, 652 |
| 2 | 961, 406, 489, 326 |
| 163 | 961, 203, 489, 163 |
| 961, 203, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 163 x 961 x 203 x 3 x 1 = 381582348
Therefore, the lowest common multiple of 961,812,978,652 is 381582348.
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.
961 x 812 x 978 x 652 = 497583381792
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.
961 : 1, 31, 961
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
978 : 1, 2, 3, 6, 163, 326, 489, 978
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,812,978,652, is 1.
Now, the common factors can be found like this.
961:31x 31
812:2x 2x 7x 29
978:2x 3x 163
652:2x 2x 163
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 163 = 1304
Therefore, the value for common factors is 1304.
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 = 497583381792/(1x1304)
LCM = 497583381792/1304
LCM = 381582348
Thus, we can understand that the LCM of 961,812,978,652 is 381582348.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 961, 812, 978, 652
1. What is the LCM of 961, 812, 978, 652?
Answer: LCM of 961, 812, 978, 652 is 381582348.
2. How to calculate the LCM of 961, 812, 978, 652?
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 961, 812, 978, 652.
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}.