LCM of 891, 462, 423, 381, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 891, 462, 423, 381, 473 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 891, 462, 423, 381, 473. So, keep reading to learn more.
Given numbers are 891,462,423,381,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,462,423,381,473 is 3201664158.
Find LCM of 891,462,423,381,473 with Prime Factorization
| 3 | 891, 462, 423, 381, 473 |
| 3 | 297, 154, 141, 127, 473 |
| 11 | 99, 154, 47, 127, 473 |
| 9, 14, 47, 127, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 9 x 14 x 47 x 127 x 43 = 3201664158
Therefore, the lowest common multiple of 891,462,423,381,473 is 3201664158.
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.
891 x 462 x 423 x 381 x 473 = 31379510412558
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
423 : 1, 3, 9, 47, 141, 423
381 : 1, 3, 127, 381
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,462,423,381,473, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
462:2x 3x 7x 11
423:3x 3x 47
381:3x 127
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 11x 11 = 9801
Therefore, the value for common factors is 9801.
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 = 31379510412558/(1x9801)
LCM = 31379510412558/9801
LCM = 3201664158
Thus, we can understand that the LCM of 891,462,423,381,473 is 3201664158.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 891, 462, 423, 381, 473
1. What is the LCM of 891, 462, 423, 381, 473?
Answer: LCM of 891, 462, 423, 381, 473 is 3201664158.
2. How to calculate the LCM of 891, 462, 423, 381, 473?
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 891, 462, 423, 381, 473.
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}.