LCM of 187, 770, 875, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 770, 875, 341 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, 770, 875, 341. So, keep reading to learn more.
Given numbers are 187,770,875,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,770,875,341 is 10144750.
Find LCM of 187,770,875,341 with Prime Factorization
| 5 | 187, 770, 875, 341 |
| 7 | 187, 154, 175, 341 |
| 11 | 187, 22, 25, 341 |
| 17, 2, 25, 31 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 17 x 2 x 25 x 31 = 10144750
Therefore, the lowest common multiple of 187,770,875,341 is 10144750.
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 770 x 875 x 341 = 42963016250
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
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
875 : 1, 5, 7, 25, 35, 125, 175, 875
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,770,875,341, is 1.
Now, the common factors can be found like this.
187:11x 17
770:2x 5x 7x 11
875:5x 5x 5x 7
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 11x 11 = 4235
Therefore, the value for common factors is 4235.
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 = 42963016250/(1x4235)
LCM = 42963016250/4235
LCM = 10144750
Thus, we can understand that the LCM of 187,770,875,341 is 10144750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 770, 875, 341
1. What is the LCM of 187, 770, 875, 341?
Answer: LCM of 187, 770, 875, 341 is 10144750.
2. How to calculate the LCM of 187, 770, 875, 341?
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, 770, 875, 341.
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}.