LCM of 989, 168, 836, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 168, 836, 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 989, 168, 836, 978. So, keep reading to learn more.
Given numbers are 989,168,836,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,168,836,978 is 5660300184.
Find LCM of 989,168,836,978 with Prime Factorization
| 2 | 989, 168, 836, 978 |
| 2 | 989, 84, 418, 489 |
| 3 | 989, 42, 209, 489 |
| 989, 14, 209, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 989 x 14 x 209 x 163 = 5660300184
Therefore, the lowest common multiple of 989,168,836,978 is 5660300184.
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.
989 x 168 x 836 x 978 = 135847204416
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.
989 : 1, 23, 43, 989
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
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 989,168,836,978, is 1.
Now, the common factors can be found like this.
989:23x 43
168:2x 2x 2x 3x 7
836:2x 2x 11x 19
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 3 = 24
Therefore, the value for common factors is 24.
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 = 135847204416/(1x24)
LCM = 135847204416/24
LCM = 5660300184
Thus, we can understand that the LCM of 989,168,836,978 is 5660300184.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 168, 836, 978
1. What is the LCM of 989, 168, 836, 978?
Answer: LCM of 989, 168, 836, 978 is 5660300184.
2. How to calculate the LCM of 989, 168, 836, 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 989, 168, 836, 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}.