LCM of 437, 978, 916, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 978, 916, 961 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 437, 978, 916, 961. So, keep reading to learn more.
Given numbers are 437,978,916,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,978,916,961 is 188108819268.
Find LCM of 437,978,916,961 with Prime Factorization
| 2 | 437, 978, 916, 961 |
| 437, 489, 458, 961 |
Multiply the prime numbers at the bottom and the left side.
2 x 437 x 489 x 458 x 961 = 188108819268
Therefore, the lowest common multiple of 437,978,916,961 is 188108819268.
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.
437 x 978 x 916 x 961 = 376217638536
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.
437 : 1, 19, 23, 437
978 : 1, 2, 3, 6, 163, 326, 489, 978
916 : 1, 2, 4, 229, 458, 916
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,978,916,961, is 1.
Now, the common factors can be found like this.
437:19x 23
978:2x 3x 163
916:2x 2x 229
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 376217638536/(1x2)
LCM = 376217638536/2
LCM = 188108819268
Thus, we can understand that the LCM of 437,978,916,961 is 188108819268.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 437, 978, 916, 961
1. What is the LCM of 437, 978, 916, 961?
Answer: LCM of 437, 978, 916, 961 is 188108819268.
2. How to calculate the LCM of 437, 978, 916, 961?
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 437, 978, 916, 961.
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}.