LCM of 513, 421, 931, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 421, 931, 882 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 513, 421, 931, 882. So, keep reading to learn more.
Given numbers are 513,421,931,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,421,931,882 is 21165354.
Find LCM of 513,421,931,882 with Prime Factorization
| 3 | 513, 421, 931, 882 |
| 3 | 171, 421, 931, 294 |
| 7 | 57, 421, 931, 98 |
| 7 | 57, 421, 133, 14 |
| 19 | 57, 421, 19, 2 |
| 3, 421, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 7 x 19 x 3 x 421 x 1 x 2 = 21165354
Therefore, the lowest common multiple of 513,421,931,882 is 21165354.
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.
513 x 421 x 931 x 882 = 177344501166
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
421 : 1, 421
931 : 1, 7, 19, 49, 133, 931
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,421,931,882, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
421:421
931:7x 7x 19
882:2x 3x 3x 7x 7
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 7x 7x 19 = 8379
Therefore, the value for common factors is 8379.
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 = 177344501166/(1x8379)
LCM = 177344501166/8379
LCM = 21165354
Thus, we can understand that the LCM of 513,421,931,882 is 21165354.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 421, 931, 882
1. What is the LCM of 513, 421, 931, 882?
Answer: LCM of 513, 421, 931, 882 is 21165354.
2. How to calculate the LCM of 513, 421, 931, 882?
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 513, 421, 931, 882.
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}.