LCM of 978, 551, 799, 914, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 551, 799, 914, 642 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, 551, 799, 914, 642. So, keep reading to learn more.
Given numbers are 978,551,799,914,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,551,799,914,642 is 21054125662278.
Find LCM of 978,551,799,914,642 with Prime Factorization
| 2 | 978, 551, 799, 914, 642 |
| 3 | 489, 551, 799, 457, 321 |
| 163, 551, 799, 457, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 551 x 799 x 457 x 107 = 21054125662278
Therefore, the lowest common multiple of 978,551,799,914,642 is 21054125662278.
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 551 x 799 x 914 x 642 = 252649507947336
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
551 : 1, 19, 29, 551
799 : 1, 17, 47, 799
914 : 1, 2, 457, 914
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,551,799,914,642, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
551:19x 29
799:17x 47
914:2x 457
642:2x 3x 107
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 = 252649507947336/(1x12)
LCM = 252649507947336/12
LCM = 21054125662278
Thus, we can understand that the LCM of 978,551,799,914,642 is 21054125662278.
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FAQs on LCM of 978, 551, 799, 914, 642
1. What is the LCM of 978, 551, 799, 914, 642?
Answer: LCM of 978, 551, 799, 914, 642 is 21054125662278.
2. How to calculate the LCM of 978, 551, 799, 914, 642?
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, 551, 799, 914, 642.
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}.