LCM of 180, 978, 742, 464, 298
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 978, 742, 464, 298 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 180, 978, 742, 464, 298. So, keep reading to learn more.
Given numbers are 180,978,742,464,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,978,742,464,298 is 188138759760.
Find LCM of 180,978,742,464,298 with Prime Factorization
| 2 | 180, 978, 742, 464, 298 |
| 2 | 90, 489, 371, 232, 149 |
| 3 | 45, 489, 371, 116, 149 |
| 15, 163, 371, 116, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 15 x 163 x 371 x 116 x 149 = 188138759760
Therefore, the lowest common multiple of 180,978,742,464,298 is 188138759760.
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.
180 x 978 x 742 x 464 x 298 = 18061320936960
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
978 : 1, 2, 3, 6, 163, 326, 489, 978
742 : 1, 2, 7, 14, 53, 106, 371, 742
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
298 : 1, 2, 149, 298
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,978,742,464,298, is 2.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
978:2x 3x 163
742:2x 7x 53
464:2x 2x 2x 2x 29
298:2x 149
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 = 18061320936960/(2x48)
LCM = 18061320936960/96
LCM = 188138759760
Thus, we can understand that the LCM of 180,978,742,464,298 is 188138759760.
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FAQs on LCM of 180, 978, 742, 464, 298
1. What is the LCM of 180, 978, 742, 464, 298?
Answer: LCM of 180, 978, 742, 464, 298 is 188138759760.
2. How to calculate the LCM of 180, 978, 742, 464, 298?
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 180, 978, 742, 464, 298.
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}.