LCM of 884, 486, 749, 252, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 486, 749, 252, 377 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, 486, 749, 252, 377. So, keep reading to learn more.
Given numbers are 884,486,749,252,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,486,749,252,377 is 4665931452.
Find LCM of 884,486,749,252,377 with Prime Factorization
| 2 | 884, 486, 749, 252, 377 |
| 2 | 442, 243, 749, 126, 377 |
| 3 | 221, 243, 749, 63, 377 |
| 3 | 221, 81, 749, 21, 377 |
| 7 | 221, 27, 749, 7, 377 |
| 13 | 221, 27, 107, 1, 377 |
| 17, 27, 107, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 13 x 17 x 27 x 107 x 1 x 29 = 4665931452
Therefore, the lowest common multiple of 884,486,749,252,377 is 4665931452.
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 486 x 749 x 252 x 377 = 30571182873504
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
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
749 : 1, 7, 107, 749
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,486,749,252,377, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
486:2x 3x 3x 3x 3x 3
749:7x 107
252:2x 2x 3x 3x 7
377:13x 29
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 3x 3x 7x 13 = 6552
Therefore, the value for common factors is 6552.
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 = 30571182873504/(1x6552)
LCM = 30571182873504/6552
LCM = 4665931452
Thus, we can understand that the LCM of 884,486,749,252,377 is 4665931452.
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FAQs on LCM of 884, 486, 749, 252, 377
1. What is the LCM of 884, 486, 749, 252, 377?
Answer: LCM of 884, 486, 749, 252, 377 is 4665931452.
2. How to calculate the LCM of 884, 486, 749, 252, 377?
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, 486, 749, 252, 377.
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}.