LCM of 978, 836, 817, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 836, 817, 644 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, 836, 817, 644. So, keep reading to learn more.
Given numbers are 978,836,817,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,836,817,644 is 2830150092.
Find LCM of 978,836,817,644 with Prime Factorization
| 2 | 978, 836, 817, 644 |
| 2 | 489, 418, 817, 322 |
| 19 | 489, 209, 817, 161 |
| 489, 11, 43, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 489 x 11 x 43 x 161 = 2830150092
Therefore, the lowest common multiple of 978,836,817,644 is 2830150092.
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 836 x 817 x 644 = 430182813984
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
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
817 : 1, 19, 43, 817
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,836,817,644, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
836:2x 2x 11x 19
817:19x 43
644:2x 2x 7x 23
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 19 = 152
Therefore, the value for common factors is 152.
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 = 430182813984/(1x152)
LCM = 430182813984/152
LCM = 2830150092
Thus, we can understand that the LCM of 978,836,817,644 is 2830150092.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 978, 836, 817, 644
1. What is the LCM of 978, 836, 817, 644?
Answer: LCM of 978, 836, 817, 644 is 2830150092.
2. How to calculate the LCM of 978, 836, 817, 644?
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, 836, 817, 644.
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}.