LCM of 894, 164, 476, 403, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 164, 476, 403, 451 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, 164, 476, 403, 451. So, keep reading to learn more.
Given numbers are 894,164,476,403,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,164,476,403,451 is 38671949316.
Find LCM of 894,164,476,403,451 with Prime Factorization
| 2 | 894, 164, 476, 403, 451 |
| 2 | 447, 82, 238, 403, 451 |
| 41 | 447, 41, 119, 403, 451 |
| 447, 1, 119, 403, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 41 x 447 x 1 x 119 x 403 x 11 = 38671949316
Therefore, the lowest common multiple of 894,164,476,403,451 is 38671949316.
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 164 x 476 x 403 x 451 = 12684399375648
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
164 : 1, 2, 4, 41, 82, 164
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
403 : 1, 13, 31, 403
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,164,476,403,451, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
164:2x 2x 41
476:2x 2x 7x 17
403:13x 31
451:11x 41
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 41 = 328
Therefore, the value for common factors is 328.
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 = 12684399375648/(1x328)
LCM = 12684399375648/328
LCM = 38671949316
Thus, we can understand that the LCM of 894,164,476,403,451 is 38671949316.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 894, 164, 476, 403, 451
1. What is the LCM of 894, 164, 476, 403, 451?
Answer: LCM of 894, 164, 476, 403, 451 is 38671949316.
2. How to calculate the LCM of 894, 164, 476, 403, 451?
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, 164, 476, 403, 451.
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}.