LCM of 774, 782, 363, 236
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 782, 363, 236 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 774, 782, 363, 236. So, keep reading to learn more.
Given numbers are 774,782,363,236
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,782,363,236 is 4321008252.
Find LCM of 774,782,363,236 with Prime Factorization
| 2 | 774, 782, 363, 236 |
| 3 | 387, 391, 363, 118 |
| 129, 391, 121, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 129 x 391 x 121 x 118 = 4321008252
Therefore, the lowest common multiple of 774,782,363,236 is 4321008252.
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.
774 x 782 x 363 x 236 = 51852099024
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
782 : 1, 2, 17, 23, 34, 46, 391, 782
363 : 1, 3, 11, 33, 121, 363
236 : 1, 2, 4, 59, 118, 236
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,782,363,236, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
782:2x 17x 23
363:3x 11x 11
236:2x 2x 59
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 3 = 12
Therefore, the value for common factors is 12.
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 = 51852099024/(1x12)
LCM = 51852099024/12
LCM = 4321008252
Thus, we can understand that the LCM of 774,782,363,236 is 4321008252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 774, 782, 363, 236
1. What is the LCM of 774, 782, 363, 236?
Answer: LCM of 774, 782, 363, 236 is 4321008252.
2. How to calculate the LCM of 774, 782, 363, 236?
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 774, 782, 363, 236.
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}.