LCM of 112, 119, 180, 489, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 119, 180, 489, 782 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 112, 119, 180, 489, 782. So, keep reading to learn more.
Given numbers are 112,119,180,489,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,119,180,489,782 is 321214320.
Find LCM of 112,119,180,489,782 with Prime Factorization
| 2 | 112, 119, 180, 489, 782 |
| 2 | 56, 119, 90, 489, 391 |
| 3 | 28, 119, 45, 489, 391 |
| 7 | 28, 119, 15, 163, 391 |
| 17 | 4, 17, 15, 163, 391 |
| 4, 1, 15, 163, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 4 x 1 x 15 x 163 x 23 = 321214320
Therefore, the lowest common multiple of 112,119,180,489,782 is 321214320.
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.
112 x 119 x 180 x 489 x 782 = 917388097920
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
119 : 1, 7, 17, 119
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
489 : 1, 3, 163, 489
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,119,180,489,782, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
119:7x 17
180:2x 2x 3x 3x 5
489:3x 163
782:2x 17x 23
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 3x 7x 17 = 2856
Therefore, the value for common factors is 2856.
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 = 917388097920/(1x2856)
LCM = 917388097920/2856
LCM = 321214320
Thus, we can understand that the LCM of 112,119,180,489,782 is 321214320.
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FAQs on LCM of 112, 119, 180, 489, 782
1. What is the LCM of 112, 119, 180, 489, 782?
Answer: LCM of 112, 119, 180, 489, 782 is 321214320.
2. How to calculate the LCM of 112, 119, 180, 489, 782?
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 112, 119, 180, 489, 782.
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}.