LCM of 386, 978, 196, 460, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 386, 978, 196, 460, 594 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 386, 978, 196, 460, 594. So, keep reading to learn more.
Given numbers are 386,978,196,460,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 386,978,196,460,594 is 210598500420.
Find LCM of 386,978,196,460,594 with Prime Factorization
| 2 | 386, 978, 196, 460, 594 |
| 2 | 193, 489, 98, 230, 297 |
| 3 | 193, 489, 49, 115, 297 |
| 193, 163, 49, 115, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 193 x 163 x 49 x 115 x 99 = 210598500420
Therefore, the lowest common multiple of 386,978,196,460,594 is 210598500420.
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.
386 x 978 x 196 x 460 x 594 = 20217456040320
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.
386 : 1, 2, 193, 386
978 : 1, 2, 3, 6, 163, 326, 489, 978
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,978,196,460,594, is 2.
Now, the common factors can be found like this.
386:2x 193
978:2x 3x 163
196:2x 2x 7x 7
460:2x 2x 5x 23
594:2x 3x 3x 3x 11
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 20217456040320/(2x48)
LCM = 20217456040320/96
LCM = 210598500420
Thus, we can understand that the LCM of 386,978,196,460,594 is 210598500420.
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FAQs on LCM of 386, 978, 196, 460, 594
1. What is the LCM of 386, 978, 196, 460, 594?
Answer: LCM of 386, 978, 196, 460, 594 is 210598500420.
2. How to calculate the LCM of 386, 978, 196, 460, 594?
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 386, 978, 196, 460, 594.
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}.