LCM of 882, 665, 490, 254, 265
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 665, 490, 254, 265 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 882, 665, 490, 254, 265. So, keep reading to learn more.
Given numbers are 882,665,490,254,265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,665,490,254,265 is 563990490.
Find LCM of 882,665,490,254,265 with Prime Factorization
| 2 | 882, 665, 490, 254, 265 |
| 5 | 441, 665, 245, 127, 265 |
| 7 | 441, 133, 49, 127, 53 |
| 7 | 63, 19, 7, 127, 53 |
| 9, 19, 1, 127, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 9 x 19 x 1 x 127 x 53 = 563990490
Therefore, the lowest common multiple of 882,665,490,254,265 is 563990490.
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.
882 x 665 x 490 x 254 x 265 = 19344873807000
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
665 : 1, 5, 7, 19, 35, 95, 133, 665
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
254 : 1, 2, 127, 254
265 : 1, 5, 53, 265
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,665,490,254,265, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
665:5x 7x 19
490:2x 5x 7x 7
254:2x 127
265:5x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 5x 7x 7x 7 = 34300
Therefore, the value for common factors is 34300.
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 = 19344873807000/(1x34300)
LCM = 19344873807000/34300
LCM = 563990490
Thus, we can understand that the LCM of 882,665,490,254,265 is 563990490.
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FAQs on LCM of 882, 665, 490, 254, 265
1. What is the LCM of 882, 665, 490, 254, 265?
Answer: LCM of 882, 665, 490, 254, 265 is 563990490.
2. How to calculate the LCM of 882, 665, 490, 254, 265?
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 882, 665, 490, 254, 265.
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}.