LCM of 187, 945, 367, 314, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 945, 367, 314, 616 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, 367, 314, 616. So, keep reading to learn more.
Given numbers are 187,945,367,314,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,945,367,314,616 is 81457132680.
Find LCM of 187,945,367,314,616 with Prime Factorization
| 2 | 187, 945, 367, 314, 616 |
| 7 | 187, 945, 367, 157, 308 |
| 11 | 187, 135, 367, 157, 44 |
| 17, 135, 367, 157, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 17 x 135 x 367 x 157 x 4 = 81457132680
Therefore, the lowest common multiple of 187,945,367,314,616 is 81457132680.
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 367 x 314 x 616 = 12544398432720
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
367 : 1, 367
314 : 1, 2, 157, 314
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,945,367,314,616, is 1.
Now, the common factors can be found like this.
187:11x 17
945:3x 3x 3x 5x 7
367:367
314:2x 157
616:2x 2x 2x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 12544398432720/(1x154)
LCM = 12544398432720/154
LCM = 81457132680
Thus, we can understand that the LCM of 187,945,367,314,616 is 81457132680.
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FAQs on LCM of 187, 945, 367, 314, 616
1. What is the LCM of 187, 945, 367, 314, 616?
Answer: LCM of 187, 945, 367, 314, 616 is 81457132680.
2. How to calculate the LCM of 187, 945, 367, 314, 616?
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, 367, 314, 616.
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}.