LCM of 532, 893, 819, 562
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 893, 819, 562 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 532, 893, 819, 562. So, keep reading to learn more.
Given numbers are 532,893,819,562
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,893,819,562 is 822056508.
Find LCM of 532,893,819,562 with Prime Factorization
| 2 | 532, 893, 819, 562 |
| 7 | 266, 893, 819, 281 |
| 19 | 38, 893, 117, 281 |
| 2, 47, 117, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 2 x 47 x 117 x 281 = 822056508
Therefore, the lowest common multiple of 532,893,819,562 is 822056508.
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.
532 x 893 x 819 x 562 = 218667031128
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
893 : 1, 19, 47, 893
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
562 : 1, 2, 281, 562
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,893,819,562, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
893:19x 47
819:3x 3x 7x 13
562:2x 281
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 19 = 266
Therefore, the value for common factors is 266.
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 = 218667031128/(1x266)
LCM = 218667031128/266
LCM = 822056508
Thus, we can understand that the LCM of 532,893,819,562 is 822056508.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 532, 893, 819, 562
1. What is the LCM of 532, 893, 819, 562?
Answer: LCM of 532, 893, 819, 562 is 822056508.
2. How to calculate the LCM of 532, 893, 819, 562?
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 532, 893, 819, 562.
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}.