LCM of 381, 882, 157, 735, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 882, 157, 735, 514 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 381, 882, 157, 735, 514. So, keep reading to learn more.
Given numbers are 381,882,157,735,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,882,157,735,514 is 22598264430.
Find LCM of 381,882,157,735,514 with Prime Factorization
| 2 | 381, 882, 157, 735, 514 |
| 3 | 381, 441, 157, 735, 257 |
| 7 | 127, 147, 157, 245, 257 |
| 7 | 127, 21, 157, 35, 257 |
| 127, 3, 157, 5, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 127 x 3 x 157 x 5 x 257 = 22598264430
Therefore, the lowest common multiple of 381,882,157,735,514 is 22598264430.
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.
381 x 882 x 157 x 735 x 514 = 19931669227260
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.
381 : 1, 3, 127, 381
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
157 : 1, 157
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,882,157,735,514, is 1.
Now, the common factors can be found like this.
381:3x 127
882:2x 3x 3x 7x 7
157:157
735:3x 5x 7x 7
514:2x 257
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 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 19931669227260/(1x882)
LCM = 19931669227260/882
LCM = 22598264430
Thus, we can understand that the LCM of 381,882,157,735,514 is 22598264430.
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FAQs on LCM of 381, 882, 157, 735, 514
1. What is the LCM of 381, 882, 157, 735, 514?
Answer: LCM of 381, 882, 157, 735, 514 is 22598264430.
2. How to calculate the LCM of 381, 882, 157, 735, 514?
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 381, 882, 157, 735, 514.
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}.