LCM of 821, 731, 564, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 731, 564, 387 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 821, 731, 564, 387. So, keep reading to learn more.
Given numbers are 821,731,564,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,731,564,387 is 1015455492.
Find LCM of 821,731,564,387 with Prime Factorization
| 3 | 821, 731, 564, 387 |
| 43 | 821, 731, 188, 129 |
| 821, 17, 188, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 821 x 17 x 188 x 3 = 1015455492
Therefore, the lowest common multiple of 821,731,564,387 is 1015455492.
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.
821 x 731 x 564 x 387 = 130993758468
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.
821 : 1, 821
731 : 1, 17, 43, 731
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,731,564,387, is 1.
Now, the common factors can be found like this.
821:821
731:17x 43
564:2x 2x 3x 47
387:3x 3x 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 43 = 129
Therefore, the value for common factors is 129.
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 = 130993758468/(1x129)
LCM = 130993758468/129
LCM = 1015455492
Thus, we can understand that the LCM of 821,731,564,387 is 1015455492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 821, 731, 564, 387
1. What is the LCM of 821, 731, 564, 387?
Answer: LCM of 821, 731, 564, 387 is 1015455492.
2. How to calculate the LCM of 821, 731, 564, 387?
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 821, 731, 564, 387.
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}.