LCM of 955, 755, 141, 690, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 955, 755, 141, 690, 414 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 955, 755, 141, 690, 414. So, keep reading to learn more.
Given numbers are 955,755,141,690,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,755,141,690,414 is 2805940890.
Find LCM of 955,755,141,690,414 with Prime Factorization
| 2 | 955, 755, 141, 690, 414 |
| 3 | 955, 755, 141, 345, 207 |
| 5 | 955, 755, 47, 115, 69 |
| 23 | 191, 151, 47, 23, 69 |
| 191, 151, 47, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 191 x 151 x 47 x 1 x 3 = 2805940890
Therefore, the lowest common multiple of 955,755,141,690,414 is 2805940890.
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.
955 x 755 x 141 x 690 x 414 = 29041488211500
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.
955 : 1, 5, 191, 955
755 : 1, 5, 151, 755
141 : 1, 3, 47, 141
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,755,141,690,414, is 1.
Now, the common factors can be found like this.
955:5x 191
755:5x 151
141:3x 47
690:2x 3x 5x 23
414:2x 3x 3x 23
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 5x 5x 23 = 10350
Therefore, the value for common factors is 10350.
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 = 29041488211500/(1x10350)
LCM = 29041488211500/10350
LCM = 2805940890
Thus, we can understand that the LCM of 955,755,141,690,414 is 2805940890.
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FAQs on LCM of 955, 755, 141, 690, 414
1. What is the LCM of 955, 755, 141, 690, 414?
Answer: LCM of 955, 755, 141, 690, 414 is 2805940890.
2. How to calculate the LCM of 955, 755, 141, 690, 414?
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 955, 755, 141, 690, 414.
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}.