LCM of 884, 499, 295, 506, 499
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 499, 295, 506, 499 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 884, 499, 295, 506, 499. So, keep reading to learn more.
Given numbers are 884,499,295,506,499
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,499,295,506,499 is 32922692660.
Find LCM of 884,499,295,506,499 with Prime Factorization
| 2 | 884, 499, 295, 506, 499 |
| 499 | 442, 499, 295, 253, 499 |
| 442, 1, 295, 253, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 499 x 442 x 1 x 295 x 253 x 1 = 32922692660
Therefore, the lowest common multiple of 884,499,295,506,499 is 32922692660.
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.
884 x 499 x 295 x 506 x 499 = 32856847274680
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
499 : 1, 499
295 : 1, 5, 59, 295
506 : 1, 2, 11, 22, 23, 46, 253, 506
499 : 1, 499
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,499,295,506,499, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
499:499
295:5x 59
506:2x 11x 23
499:499
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 499 = 998
Therefore, the value for common factors is 998.
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 = 32856847274680/(1x998)
LCM = 32856847274680/998
LCM = 32922692660
Thus, we can understand that the LCM of 884,499,295,506,499 is 32922692660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 884, 499, 295, 506, 499
1. What is the LCM of 884, 499, 295, 506, 499?
Answer: LCM of 884, 499, 295, 506, 499 is 32922692660.
2. How to calculate the LCM of 884, 499, 295, 506, 499?
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 884, 499, 295, 506, 499.
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}.