LCM of 978, 316, 420, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 316, 420, 896 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, 316, 420, 896. So, keep reading to learn more.
Given numbers are 978,316,420,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,316,420,896 is 173066880.
Find LCM of 978,316,420,896 with Prime Factorization
| 2 | 978, 316, 420, 896 |
| 2 | 489, 158, 210, 448 |
| 3 | 489, 79, 105, 224 |
| 7 | 163, 79, 35, 224 |
| 163, 79, 5, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 163 x 79 x 5 x 32 = 173066880
Therefore, the lowest common multiple of 978,316,420,896 is 173066880.
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 316 x 420 x 896 = 116300943360
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
316 : 1, 2, 4, 79, 158, 316
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,316,420,896, is 2.
Now, the common factors can be found like this.
978:2x 3x 163
316:2x 2x 79
420:2x 2x 3x 5x 7
896:2x 2x 2x 2x 2x 2x 2x 7
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 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 116300943360/(2x336)
LCM = 116300943360/672
LCM = 173066880
Thus, we can understand that the LCM of 978,316,420,896 is 173066880.
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FAQs on LCM of 978, 316, 420, 896
1. What is the LCM of 978, 316, 420, 896?
Answer: LCM of 978, 316, 420, 896 is 173066880.
2. How to calculate the LCM of 978, 316, 420, 896?
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, 316, 420, 896.
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}.