LCM of 684, 216, 196, 782, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 216, 196, 782, 667 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 684, 216, 196, 782, 667. So, keep reading to learn more.
Given numbers are 684,216,196,782,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,216,196,782,667 is 2280227544.
Find LCM of 684,216,196,782,667 with Prime Factorization
| 2 | 684, 216, 196, 782, 667 |
| 2 | 342, 108, 98, 391, 667 |
| 3 | 171, 54, 49, 391, 667 |
| 3 | 57, 18, 49, 391, 667 |
| 23 | 19, 6, 49, 391, 667 |
| 19, 6, 49, 17, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 19 x 6 x 49 x 17 x 29 = 2280227544
Therefore, the lowest common multiple of 684,216,196,782,667 is 2280227544.
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.
684 x 216 x 196 x 782 x 667 = 15104227251456
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
782 : 1, 2, 17, 23, 34, 46, 391, 782
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,216,196,782,667, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
216:2x 2x 2x 3x 3x 3
196:2x 2x 7x 7
782:2x 17x 23
667:23x 29
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 2x 3x 3x 23 = 6624
Therefore, the value for common factors is 6624.
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 = 15104227251456/(1x6624)
LCM = 15104227251456/6624
LCM = 2280227544
Thus, we can understand that the LCM of 684,216,196,782,667 is 2280227544.
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FAQs on LCM of 684, 216, 196, 782, 667
1. What is the LCM of 684, 216, 196, 782, 667?
Answer: LCM of 684, 216, 196, 782, 667 is 2280227544.
2. How to calculate the LCM of 684, 216, 196, 782, 667?
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 684, 216, 196, 782, 667.
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}.