LCM of 298, 978, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 978, 768 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 298, 978, 768. So, keep reading to learn more.
Given numbers are 298,978,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,978,768 is 18652416.
Find LCM of 298,978,768 with Prime Factorization
| 2 | 298, 978, 768 |
| 3 | 149, 489, 384 |
| 149, 163, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 149 x 163 x 128 = 18652416
Therefore, the lowest common multiple of 298,978,768 is 18652416.
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.
298 x 978 x 768 = 223828992
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.
298 : 1, 2, 149, 298
978 : 1, 2, 3, 6, 163, 326, 489, 978
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,978,768, is 2.
Now, the common factors can be found like this.
298:2x 149
978:2x 3x 163
768:2x 2x 2x 2x 2x 2x 2x 2x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 223828992/(2x6)
LCM = 223828992/12
LCM = 18652416
Thus, we can understand that the LCM of 298,978,768 is 18652416.
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FAQs on LCM of 298, 978, 768
1. What is the LCM of 298, 978, 768?
Answer: LCM of 298, 978, 768 is 18652416.
2. How to calculate the LCM of 298, 978, 768?
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 298, 978, 768.
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}.