LCM of 838, 892, 421, 312, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 892, 421, 312, 936 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 838, 892, 421, 312, 936. So, keep reading to learn more.
Given numbers are 838,892,421,312,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,892,421,312,936 is 36819410472.
Find LCM of 838,892,421,312,936 with Prime Factorization
| 2 | 838, 892, 421, 312, 936 |
| 2 | 419, 446, 421, 156, 468 |
| 2 | 419, 223, 421, 78, 234 |
| 3 | 419, 223, 421, 39, 117 |
| 13 | 419, 223, 421, 13, 39 |
| 419, 223, 421, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 419 x 223 x 421 x 1 x 3 = 36819410472
Therefore, the lowest common multiple of 838,892,421,312,936 is 36819410472.
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.
838 x 892 x 421 x 312 x 936 = 91901248538112
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.
838 : 1, 2, 419, 838
892 : 1, 2, 4, 223, 446, 892
421 : 1, 421
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,892,421,312,936, is 1.
Now, the common factors can be found like this.
838:2x 419
892:2x 2x 223
421:421
312:2x 2x 2x 3x 13
936:2x 2x 2x 3x 3x 13
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 2x 2x 2x 3x 13 = 2496
Therefore, the value for common factors is 2496.
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 = 91901248538112/(1x2496)
LCM = 91901248538112/2496
LCM = 36819410472
Thus, we can understand that the LCM of 838,892,421,312,936 is 36819410472.
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FAQs on LCM of 838, 892, 421, 312, 936
1. What is the LCM of 838, 892, 421, 312, 936?
Answer: LCM of 838, 892, 421, 312, 936 is 36819410472.
2. How to calculate the LCM of 838, 892, 421, 312, 936?
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 838, 892, 421, 312, 936.
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}.