LCM of 349, 492, 819, 912, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 349, 492, 819, 912, 861 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 349, 492, 819, 912, 861. So, keep reading to learn more.
Given numbers are 349,492,819,912,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 349,492,819,912,861 is 3562597584.
Find LCM of 349,492,819,912,861 with Prime Factorization
| 2 | 349, 492, 819, 912, 861 |
| 2 | 349, 246, 819, 456, 861 |
| 3 | 349, 123, 819, 228, 861 |
| 7 | 349, 41, 273, 76, 287 |
| 41 | 349, 41, 39, 76, 41 |
| 349, 1, 39, 76, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 41 x 349 x 1 x 39 x 76 x 1 = 3562597584
Therefore, the lowest common multiple of 349,492,819,912,861 is 3562597584.
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.
349 x 492 x 819 x 912 x 861 = 110426274713664
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.
349 : 1, 349
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,492,819,912,861, is 1.
Now, the common factors can be found like this.
349:349
492:2x 2x 3x 41
819:3x 3x 7x 13
912:2x 2x 2x 2x 3x 19
861:3x 7x 41
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 3x 3x 3x 7x 41 = 30996
Therefore, the value for common factors is 30996.
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 = 110426274713664/(1x30996)
LCM = 110426274713664/30996
LCM = 3562597584
Thus, we can understand that the LCM of 349,492,819,912,861 is 3562597584.
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FAQs on LCM of 349, 492, 819, 912, 861
1. What is the LCM of 349, 492, 819, 912, 861?
Answer: LCM of 349, 492, 819, 912, 861 is 3562597584.
2. How to calculate the LCM of 349, 492, 819, 912, 861?
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 349, 492, 819, 912, 861.
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}.