LCM of 471, 894, 344, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 894, 344, 747 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 471, 894, 344, 747. So, keep reading to learn more.
Given numbers are 471,894,344,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,894,344,747 is 6011252424.
Find LCM of 471,894,344,747 with Prime Factorization
| 2 | 471, 894, 344, 747 |
| 3 | 471, 447, 172, 747 |
| 157, 149, 172, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 149 x 172 x 249 = 6011252424
Therefore, the lowest common multiple of 471,894,344,747 is 6011252424.
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.
471 x 894 x 344 x 747 = 108202543632
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.
471 : 1, 3, 157, 471
894 : 1, 2, 3, 6, 149, 298, 447, 894
344 : 1, 2, 4, 8, 43, 86, 172, 344
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,894,344,747, is 1.
Now, the common factors can be found like this.
471:3x 157
894:2x 3x 149
344:2x 2x 2x 43
747:3x 3x 83
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 3 = 18
Therefore, the value for common factors is 18.
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 = 108202543632/(1x18)
LCM = 108202543632/18
LCM = 6011252424
Thus, we can understand that the LCM of 471,894,344,747 is 6011252424.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 894, 344, 747
1. What is the LCM of 471, 894, 344, 747?
Answer: LCM of 471, 894, 344, 747 is 6011252424.
2. How to calculate the LCM of 471, 894, 344, 747?
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 471, 894, 344, 747.
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}.