LCM of 197, 493, 960, 826, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 197, 493, 960, 826, 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 197, 493, 960, 826, 978. So, keep reading to learn more.
Given numbers are 197,493,960,826,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,493,960,826,978 is 6276565055040.
Find LCM of 197,493,960,826,978 with Prime Factorization
| 2 | 197, 493, 960, 826, 978 |
| 3 | 197, 493, 480, 413, 489 |
| 197, 493, 160, 413, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 493 x 160 x 413 x 163 = 6276565055040
Therefore, the lowest common multiple of 197,493,960,826,978 is 6276565055040.
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.
197 x 493 x 960 x 826 x 978 = 75318780660480
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.
197 : 1, 197
493 : 1, 17, 29, 493
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
826 : 1, 2, 7, 14, 59, 118, 413, 826
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 197,493,960,826,978, is 1.
Now, the common factors can be found like this.
197:197
493:17x 29
960:2x 2x 2x 2x 2x 2x 3x 5
826:2x 7x 59
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 3 = 12
Therefore, the value for common factors is 12.
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 = 75318780660480/(1x12)
LCM = 75318780660480/12
LCM = 6276565055040
Thus, we can understand that the LCM of 197,493,960,826,978 is 6276565055040.
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FAQs on LCM of 197, 493, 960, 826, 978
1. What is the LCM of 197, 493, 960, 826, 978?
Answer: LCM of 197, 493, 960, 826, 978 is 6276565055040.
2. How to calculate the LCM of 197, 493, 960, 826, 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 197, 493, 960, 826, 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}.