LCM of 187, 755, 935, 676, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 755, 935, 676, 302 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, 755, 935, 676, 302. So, keep reading to learn more.
Given numbers are 187,755,935,676,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,755,935,676,302 is 95441060.
Find LCM of 187,755,935,676,302 with Prime Factorization
| 2 | 187, 755, 935, 676, 302 |
| 5 | 187, 755, 935, 338, 151 |
| 11 | 187, 151, 187, 338, 151 |
| 17 | 17, 151, 17, 338, 151 |
| 151 | 1, 151, 1, 338, 151 |
| 1, 1, 1, 338, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 151 x 1 x 1 x 1 x 338 x 1 = 95441060
Therefore, the lowest common multiple of 187,755,935,676,302 is 95441060.
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 755 x 935 x 676 x 302 = 26949692112200
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
755 : 1, 5, 151, 755
935 : 1, 5, 11, 17, 55, 85, 187, 935
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,755,935,676,302, is 1.
Now, the common factors can be found like this.
187:11x 17
755:5x 151
935:5x 11x 17
676:2x 2x 13x 13
302:2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 17x 151 = 282370
Therefore, the value for common factors is 282370.
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 = 26949692112200/(1x282370)
LCM = 26949692112200/282370
LCM = 95441060
Thus, we can understand that the LCM of 187,755,935,676,302 is 95441060.
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FAQs on LCM of 187, 755, 935, 676, 302
1. What is the LCM of 187, 755, 935, 676, 302?
Answer: LCM of 187, 755, 935, 676, 302 is 95441060.
2. How to calculate the LCM of 187, 755, 935, 676, 302?
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, 755, 935, 676, 302.
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}.