LCM of 187, 945, 507, 546, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 945, 507, 546, 804 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 187, 945, 507, 546, 804. So, keep reading to learn more.
Given numbers are 187,945,507,546,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,945,507,546,804 is 8003775780.
Find LCM of 187,945,507,546,804 with Prime Factorization
| 2 | 187, 945, 507, 546, 804 |
| 3 | 187, 945, 507, 273, 402 |
| 7 | 187, 315, 169, 91, 134 |
| 13 | 187, 45, 169, 13, 134 |
| 187, 45, 1, 13, 134 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 187 x 45 x 1 x 13 x 134 = 8003775780
Therefore, the lowest common multiple of 187,945,507,546,804 is 8003775780.
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.
187 x 945 x 507 x 546 x 804 = 39330554182920
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.
187 : 1, 11, 17, 187
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
507 : 1, 3, 13, 39, 169, 507
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,945,507,546,804, is 1.
Now, the common factors can be found like this.
187:11x 17
945:3x 3x 3x 5x 7
507:3x 13x 13
546:2x 3x 7x 13
804:2x 2x 3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 13 = 4914
Therefore, the value for common factors is 4914.
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 = 39330554182920/(1x4914)
LCM = 39330554182920/4914
LCM = 8003775780
Thus, we can understand that the LCM of 187,945,507,546,804 is 8003775780.
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FAQs on LCM of 187, 945, 507, 546, 804
1. What is the LCM of 187, 945, 507, 546, 804?
Answer: LCM of 187, 945, 507, 546, 804 is 8003775780.
2. How to calculate the LCM of 187, 945, 507, 546, 804?
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 187, 945, 507, 546, 804.
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}.