LCM of 894, 546, 149, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 546, 149, 504 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 894, 546, 149, 504. So, keep reading to learn more.
Given numbers are 894,546,149,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,546,149,504 is 976248.
Find LCM of 894,546,149,504 with Prime Factorization
| 2 | 894, 546, 149, 504 |
| 3 | 447, 273, 149, 252 |
| 7 | 149, 91, 149, 84 |
| 149 | 149, 13, 149, 12 |
| 1, 13, 1, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 149 x 1 x 13 x 1 x 12 = 976248
Therefore, the lowest common multiple of 894,546,149,504 is 976248.
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.
894 x 546 x 149 x 504 = 36656159904
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
149 : 1, 149
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,546,149,504, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
546:2x 3x 7x 13
149:149
504:2x 2x 2x 3x 3x 7
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 3x 3x 7x 149 = 37548
Therefore, the value for common factors is 37548.
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 = 36656159904/(1x37548)
LCM = 36656159904/37548
LCM = 976248
Thus, we can understand that the LCM of 894,546,149,504 is 976248.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 894, 546, 149, 504
1. What is the LCM of 894, 546, 149, 504?
Answer: LCM of 894, 546, 149, 504 is 976248.
2. How to calculate the LCM of 894, 546, 149, 504?
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 894, 546, 149, 504.
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}.