LCM of 309, 299, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 299, 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 309, 299, 978. So, keep reading to learn more.
Given numbers are 309,299,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,299,978 is 30119466.
Find LCM of 309,299,978 with Prime Factorization
| 3 | 309, 299, 978 |
| 103, 299, 326 |
Multiply the prime numbers at the bottom and the left side.
3 x 103 x 299 x 326 = 30119466
Therefore, the lowest common multiple of 309,299,978 is 30119466.
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.
309 x 299 x 978 = 90358398
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.
309 : 1, 3, 103, 309
299 : 1, 13, 23, 299
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 309,299,978, is 1.
Now, the common factors can be found like this.
309:3x 103
299:13x 23
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.
3 = 3
Therefore, the value for common factors is 3.
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 = 90358398/(1x3)
LCM = 90358398/3
LCM = 30119466
Thus, we can understand that the LCM of 309,299,978 is 30119466.
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FAQs on LCM of 309, 299, 978
1. What is the LCM of 309, 299, 978?
Answer: LCM of 309, 299, 978 is 30119466.
2. How to calculate the LCM of 309, 299, 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 309, 299, 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}.