LCM of 294, 221, 894, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 221, 894, 447 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 294, 221, 894, 447. So, keep reading to learn more.
Given numbers are 294,221,894,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,221,894,447 is 9681126.
Find LCM of 294,221,894,447 with Prime Factorization
| 2 | 294, 221, 894, 447 |
| 3 | 147, 221, 447, 447 |
| 149 | 49, 221, 149, 149 |
| 49, 221, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 149 x 49 x 221 x 1 x 1 = 9681126
Therefore, the lowest common multiple of 294,221,894,447 is 9681126.
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.
294 x 221 x 894 x 447 = 25964779932
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
221 : 1, 13, 17, 221
894 : 1, 2, 3, 6, 149, 298, 447, 894
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,221,894,447, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
221:13x 17
894:2x 3x 149
447:3x 149
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 149 = 2682
Therefore, the value for common factors is 2682.
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 = 25964779932/(1x2682)
LCM = 25964779932/2682
LCM = 9681126
Thus, we can understand that the LCM of 294,221,894,447 is 9681126.
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FAQs on LCM of 294, 221, 894, 447
1. What is the LCM of 294, 221, 894, 447?
Answer: LCM of 294, 221, 894, 447 is 9681126.
2. How to calculate the LCM of 294, 221, 894, 447?
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 294, 221, 894, 447.
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}.