LCM of 879, 920, 128, 768, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 920, 128, 768, 978 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 879, 920, 128, 768, 978. So, keep reading to learn more.
Given numbers are 879,920,128,768,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,920,128,768,978 is 4218074880.
Find LCM of 879,920,128,768,978 with Prime Factorization
| 2 | 879, 920, 128, 768, 978 |
| 2 | 879, 460, 64, 384, 489 |
| 2 | 879, 230, 32, 192, 489 |
| 2 | 879, 115, 16, 96, 489 |
| 2 | 879, 115, 8, 48, 489 |
| 2 | 879, 115, 4, 24, 489 |
| 2 | 879, 115, 2, 12, 489 |
| 3 | 879, 115, 1, 6, 489 |
| 293, 115, 1, 2, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 293 x 115 x 1 x 2 x 163 = 4218074880
Therefore, the lowest common multiple of 879,920,128,768,978 is 4218074880.
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.
879 x 920 x 128 x 768 x 978 = 77747556188160
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.
879 : 1, 3, 293, 879
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
128 : 1, 2, 4, 8, 16, 32, 64, 128
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,920,128,768,978, is 1.
Now, the common factors can be found like this.
879:3x 293
920:2x 2x 2x 5x 23
128:2x 2x 2x 2x 2x 2x 2
768:2x 2x 2x 2x 2x 2x 2x 2x 3
978:2x 3x 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 2x 2x 2x 2x 2x 2x 2x 2x 3x 3 = 18432
Therefore, the value for common factors is 18432.
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 = 77747556188160/(1x18432)
LCM = 77747556188160/18432
LCM = 4218074880
Thus, we can understand that the LCM of 879,920,128,768,978 is 4218074880.
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FAQs on LCM of 879, 920, 128, 768, 978
1. What is the LCM of 879, 920, 128, 768, 978?
Answer: LCM of 879, 920, 128, 768, 978 is 4218074880.
2. How to calculate the LCM of 879, 920, 128, 768, 978?
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 879, 920, 128, 768, 978.
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}.