LCM of 996, 978, 619, 196, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 996, 978, 619, 196, 656 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 996, 978, 619, 196, 656. So, keep reading to learn more.
Given numbers are 996,978,619,196,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,978,619,196,656 is 807565058832.
Find LCM of 996,978,619,196,656 with Prime Factorization
| 2 | 996, 978, 619, 196, 656 |
| 2 | 498, 489, 619, 98, 328 |
| 3 | 249, 489, 619, 49, 164 |
| 83, 163, 619, 49, 164 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 163 x 619 x 49 x 164 = 807565058832
Therefore, the lowest common multiple of 996,978,619,196,656 is 807565058832.
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.
996 x 978 x 619 x 196 x 656 = 77526245647872
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
978 : 1, 2, 3, 6, 163, 326, 489, 978
619 : 1, 619
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,978,619,196,656, is 1.
Now, the common factors can be found like this.
996:2x 2x 3x 83
978:2x 3x 163
619:619
196:2x 2x 7x 7
656:2x 2x 2x 2x 41
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 3 = 96
Therefore, the value for common factors is 96.
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 = 77526245647872/(1x96)
LCM = 77526245647872/96
LCM = 807565058832
Thus, we can understand that the LCM of 996,978,619,196,656 is 807565058832.
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FAQs on LCM of 996, 978, 619, 196, 656
1. What is the LCM of 996, 978, 619, 196, 656?
Answer: LCM of 996, 978, 619, 196, 656 is 807565058832.
2. How to calculate the LCM of 996, 978, 619, 196, 656?
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 996, 978, 619, 196, 656.
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}.