LCM of 978, 447, 318, 933
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 447, 318, 933 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 978, 447, 318, 933. So, keep reading to learn more.
Given numbers are 978,447,318,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,447,318,933 is 2401935726.
Find LCM of 978,447,318,933 with Prime Factorization
| 2 | 978, 447, 318, 933 |
| 3 | 489, 447, 159, 933 |
| 163, 149, 53, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 149 x 53 x 311 = 2401935726
Therefore, the lowest common multiple of 978,447,318,933 is 2401935726.
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.
978 x 447 x 318 x 933 = 129704529204
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
447 : 1, 3, 149, 447
318 : 1, 2, 3, 6, 53, 106, 159, 318
933 : 1, 3, 311, 933
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,447,318,933, is 3.
Now, the common factors can be found like this.
978:2x 3x 163
447:3x 149
318:2x 3x 53
933:3x 311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 129704529204/(3x18)
LCM = 129704529204/54
LCM = 2401935726
Thus, we can understand that the LCM of 978,447,318,933 is 2401935726.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 978, 447, 318, 933
1. What is the LCM of 978, 447, 318, 933?
Answer: LCM of 978, 447, 318, 933 is 2401935726.
2. How to calculate the LCM of 978, 447, 318, 933?
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 978, 447, 318, 933.
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}.