LCM of 786, 858, 338, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 858, 338, 648 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 786, 858, 338, 648. So, keep reading to learn more.
Given numbers are 786,858,338,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,858,338,648 is 157806792.
Find LCM of 786,858,338,648 with Prime Factorization
| 2 | 786, 858, 338, 648 |
| 3 | 393, 429, 169, 324 |
| 13 | 131, 143, 169, 108 |
| 131, 11, 13, 108 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 131 x 11 x 13 x 108 = 157806792
Therefore, the lowest common multiple of 786,858,338,648 is 157806792.
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.
786 x 858 x 338 x 648 = 147707157312
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
338 : 1, 2, 13, 26, 169, 338
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,858,338,648, is 2.
Now, the common factors can be found like this.
786:2x 3x 131
858:2x 3x 11x 13
338:2x 13x 13
648:2x 2x 2x 3x 3x 3x 3
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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 147707157312/(2x468)
LCM = 147707157312/936
LCM = 157806792
Thus, we can understand that the LCM of 786,858,338,648 is 157806792.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 786, 858, 338, 648
1. What is the LCM of 786, 858, 338, 648?
Answer: LCM of 786, 858, 338, 648 is 157806792.
2. How to calculate the LCM of 786, 858, 338, 648?
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 786, 858, 338, 648.
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}.