LCM of 187, 315, 707, 543
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 315, 707, 543 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, 315, 707, 543. So, keep reading to learn more.
Given numbers are 187,315,707,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,315,707,543 is 1076842305.
Find LCM of 187,315,707,543 with Prime Factorization
| 3 | 187, 315, 707, 543 |
| 7 | 187, 105, 707, 181 |
| 187, 15, 101, 181 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 187 x 15 x 101 x 181 = 1076842305
Therefore, the lowest common multiple of 187,315,707,543 is 1076842305.
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 315 x 707 x 543 = 22613688405
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
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
707 : 1, 7, 101, 707
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,315,707,543, is 1.
Now, the common factors can be found like this.
187:11x 17
315:3x 3x 5x 7
707:7x 101
543:3x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 22613688405/(1x21)
LCM = 22613688405/21
LCM = 1076842305
Thus, we can understand that the LCM of 187,315,707,543 is 1076842305.
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FAQs on LCM of 187, 315, 707, 543
1. What is the LCM of 187, 315, 707, 543?
Answer: LCM of 187, 315, 707, 543 is 1076842305.
2. How to calculate the LCM of 187, 315, 707, 543?
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, 315, 707, 543.
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}.