LCM of 705, 945, 369, 187, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 945, 369, 187, 760 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 705, 945, 369, 187, 760. So, keep reading to learn more.
Given numbers are 705,945,369,187,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,945,369,187,760 is 51760530360.
Find LCM of 705,945,369,187,760 with Prime Factorization
| 3 | 705, 945, 369, 187, 760 |
| 3 | 235, 315, 123, 187, 760 |
| 5 | 235, 105, 41, 187, 760 |
| 47, 21, 41, 187, 152 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 47 x 21 x 41 x 187 x 152 = 51760530360
Therefore, the lowest common multiple of 705,945,369,187,760 is 51760530360.
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.
705 x 945 x 369 x 187 x 760 = 34938357993000
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
369 : 1, 3, 9, 41, 123, 369
187 : 1, 11, 17, 187
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,945,369,187,760, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
945:3x 3x 3x 5x 7
369:3x 3x 41
187:11x 17
760:2x 2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5 = 675
Therefore, the value for common factors is 675.
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 = 34938357993000/(1x675)
LCM = 34938357993000/675
LCM = 51760530360
Thus, we can understand that the LCM of 705,945,369,187,760 is 51760530360.
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FAQs on LCM of 705, 945, 369, 187, 760
1. What is the LCM of 705, 945, 369, 187, 760?
Answer: LCM of 705, 945, 369, 187, 760 is 51760530360.
2. How to calculate the LCM of 705, 945, 369, 187, 760?
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 705, 945, 369, 187, 760.
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}.