LCM of 186, 378, 744, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 186, 378, 744, 705 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 186, 378, 744, 705. So, keep reading to learn more.
Given numbers are 186,378,744,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 186,378,744,705 is 11014920.
Find LCM of 186,378,744,705 with Prime Factorization
| 2 | 186, 378, 744, 705 |
| 3 | 93, 189, 372, 705 |
| 31 | 31, 63, 124, 235 |
| 1, 63, 4, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 1 x 63 x 4 x 235 = 11014920
Therefore, the lowest common multiple of 186,378,744,705 is 11014920.
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.
186 x 378 x 744 x 705 = 36877952160
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.
186 : 1, 2, 3, 6, 31, 62, 93, 186
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
705 : 1, 3, 5, 15, 47, 141, 235, 705
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,378,744,705, is 3.
Now, the common factors can be found like this.
186:2x 3x 31
378:2x 3x 3x 3x 7
744:2x 2x 2x 3x 31
705:3x 5x 47
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 31 = 1116
Therefore, the value for common factors is 1116.
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 = 36877952160/(3x1116)
LCM = 36877952160/3348
LCM = 11014920
Thus, we can understand that the LCM of 186,378,744,705 is 11014920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 186, 378, 744, 705
1. What is the LCM of 186, 378, 744, 705?
Answer: LCM of 186, 378, 744, 705 is 11014920.
2. How to calculate the LCM of 186, 378, 744, 705?
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 186, 378, 744, 705.
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}.