LCM of 836, 390, 418, 936, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 390, 418, 936, 644 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 836, 390, 418, 936, 644. So, keep reading to learn more.
Given numbers are 836,390,418,936,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,390,418,936,644 is 157477320.
Find LCM of 836,390,418,936,644 with Prime Factorization
| 2 | 836, 390, 418, 936, 644 |
| 2 | 418, 195, 209, 468, 322 |
| 3 | 209, 195, 209, 234, 161 |
| 11 | 209, 65, 209, 78, 161 |
| 13 | 19, 65, 19, 78, 161 |
| 19 | 19, 5, 19, 6, 161 |
| 1, 5, 1, 6, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 19 x 1 x 5 x 1 x 6 x 161 = 157477320
Therefore, the lowest common multiple of 836,390,418,936,644 is 157477320.
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.
836 x 390 x 418 x 936 x 644 = 82150248660480
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
418 : 1, 2, 11, 19, 22, 38, 209, 418
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
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,390,418,936,644, is 2.
Now, the common factors can be found like this.
836:2x 2x 11x 19
390:2x 3x 5x 13
418:2x 11x 19
936:2x 2x 2x 3x 3x 13
644:2x 2x 7x 23
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 3x 11x 13x 19 = 260832
Therefore, the value for common factors is 260832.
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 = 82150248660480/(2x260832)
LCM = 82150248660480/521664
LCM = 157477320
Thus, we can understand that the LCM of 836,390,418,936,644 is 157477320.
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FAQs on LCM of 836, 390, 418, 936, 644
1. What is the LCM of 836, 390, 418, 936, 644?
Answer: LCM of 836, 390, 418, 936, 644 is 157477320.
2. How to calculate the LCM of 836, 390, 418, 936, 644?
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 836, 390, 418, 936, 644.
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}.