LCM of 396, 936, 185, 745, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 936, 185, 745, 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 396, 936, 185, 745, 782. So, keep reading to learn more.
Given numbers are 396,936,185,745,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,936,185,745,782 is 110969412840.
Find LCM of 396,936,185,745,782 with Prime Factorization
| 2 | 396, 936, 185, 745, 782 |
| 2 | 198, 468, 185, 745, 391 |
| 3 | 99, 234, 185, 745, 391 |
| 3 | 33, 78, 185, 745, 391 |
| 5 | 11, 26, 185, 745, 391 |
| 11, 26, 37, 149, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 11 x 26 x 37 x 149 x 391 = 110969412840
Therefore, the lowest common multiple of 396,936,185,745,782 is 110969412840.
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.
396 x 936 x 185 x 745 x 782 = 39948988622400
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
185 : 1, 5, 37, 185
745 : 1, 5, 149, 745
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 396,936,185,745,782, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
936:2x 2x 2x 3x 3x 13
185:5x 37
745:5x 149
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 39948988622400/(1x360)
LCM = 39948988622400/360
LCM = 110969412840
Thus, we can understand that the LCM of 396,936,185,745,782 is 110969412840.
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FAQs on LCM of 396, 936, 185, 745, 782
1. What is the LCM of 396, 936, 185, 745, 782?
Answer: LCM of 396, 936, 185, 745, 782 is 110969412840.
2. How to calculate the LCM of 396, 936, 185, 745, 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 396, 936, 185, 745, 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}.