LCM of 978, 684, 905, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 684, 905, 456 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, 684, 905, 456. So, keep reading to learn more.
Given numbers are 978,684,905,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,684,905,456 is 201800520.
Find LCM of 978,684,905,456 with Prime Factorization
| 2 | 978, 684, 905, 456 |
| 2 | 489, 342, 905, 228 |
| 3 | 489, 171, 905, 114 |
| 19 | 163, 57, 905, 38 |
| 163, 3, 905, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 163 x 3 x 905 x 2 = 201800520
Therefore, the lowest common multiple of 978,684,905,456 is 201800520.
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 684 x 905 x 456 = 276063111360
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
905 : 1, 5, 181, 905
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,684,905,456, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
684:2x 2x 3x 3x 19
905:5x 181
456:2x 2x 2x 3x 19
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 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 276063111360/(1x1368)
LCM = 276063111360/1368
LCM = 201800520
Thus, we can understand that the LCM of 978,684,905,456 is 201800520.
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FAQs on LCM of 978, 684, 905, 456
1. What is the LCM of 978, 684, 905, 456?
Answer: LCM of 978, 684, 905, 456 is 201800520.
2. How to calculate the LCM of 978, 684, 905, 456?
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, 684, 905, 456.
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}.