LCM of 978, 209, 974, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 209, 974, 982 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, 209, 974, 982. So, keep reading to learn more.
Given numbers are 978,209,974,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,209,974,982 is 48875993034.
Find LCM of 978,209,974,982 with Prime Factorization
| 2 | 978, 209, 974, 982 |
| 489, 209, 487, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 489 x 209 x 487 x 491 = 48875993034
Therefore, the lowest common multiple of 978,209,974,982 is 48875993034.
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 209 x 974 x 982 = 195503972136
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
209 : 1, 11, 19, 209
974 : 1, 2, 487, 974
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,209,974,982, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
209:11x 19
974:2x 487
982:2x 491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 195503972136/(1x4)
LCM = 195503972136/4
LCM = 48875993034
Thus, we can understand that the LCM of 978,209,974,982 is 48875993034.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 978, 209, 974, 982
1. What is the LCM of 978, 209, 974, 982?
Answer: LCM of 978, 209, 974, 982 is 48875993034.
2. How to calculate the LCM of 978, 209, 974, 982?
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, 209, 974, 982.
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}.