LCM of 616, 894, 221, 448, 818
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 894, 221, 448, 818 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 616, 894, 221, 448, 818. So, keep reading to learn more.
Given numbers are 616,894,221,448,818
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,894,221,448,818 is 199110335424.
Find LCM of 616,894,221,448,818 with Prime Factorization
| 2 | 616, 894, 221, 448, 818 |
| 2 | 308, 447, 221, 224, 409 |
| 2 | 154, 447, 221, 112, 409 |
| 7 | 77, 447, 221, 56, 409 |
| 11, 447, 221, 8, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 447 x 221 x 8 x 409 = 199110335424
Therefore, the lowest common multiple of 616,894,221,448,818 is 199110335424.
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.
616 x 894 x 221 x 448 x 818 = 44600715134976
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
894 : 1, 2, 3, 6, 149, 298, 447, 894
221 : 1, 13, 17, 221
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
818 : 1, 2, 409, 818
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,894,221,448,818, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
894:2x 3x 149
221:13x 17
448:2x 2x 2x 2x 2x 2x 7
818:2x 409
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 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 44600715134976/(1x224)
LCM = 44600715134976/224
LCM = 199110335424
Thus, we can understand that the LCM of 616,894,221,448,818 is 199110335424.
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FAQs on LCM of 616, 894, 221, 448, 818
1. What is the LCM of 616, 894, 221, 448, 818?
Answer: LCM of 616, 894, 221, 448, 818 is 199110335424.
2. How to calculate the LCM of 616, 894, 221, 448, 818?
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 616, 894, 221, 448, 818.
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}.