LCM of 882, 612, 241, 718, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 612, 241, 718, 642 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, 612, 241, 718, 642. So, keep reading to learn more.
Given numbers are 882,612,241,718,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,612,241,718,642 is 277614899604.
Find LCM of 882,612,241,718,642 with Prime Factorization
| 2 | 882, 612, 241, 718, 642 |
| 3 | 441, 306, 241, 359, 321 |
| 3 | 147, 102, 241, 359, 107 |
| 49, 34, 241, 359, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 49 x 34 x 241 x 359 x 107 = 277614899604
Therefore, the lowest common multiple of 882,612,241,718,642 is 277614899604.
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 612 x 241 x 718 x 642 = 59964818314464
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
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
241 : 1, 241
718 : 1, 2, 359, 718
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,612,241,718,642, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
612:2x 2x 3x 3x 17
241:241
718:2x 359
642:2x 3x 107
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 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 59964818314464/(1x216)
LCM = 59964818314464/216
LCM = 277614899604
Thus, we can understand that the LCM of 882,612,241,718,642 is 277614899604.
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FAQs on LCM of 882, 612, 241, 718, 642
1. What is the LCM of 882, 612, 241, 718, 642?
Answer: LCM of 882, 612, 241, 718, 642 is 277614899604.
2. How to calculate the LCM of 882, 612, 241, 718, 642?
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, 612, 241, 718, 642.
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}.