LCM of 844, 551, 702, 116
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 551, 702, 116 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 844, 551, 702, 116. So, keep reading to learn more.
Given numbers are 844,551,702,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,551,702,116 is 163230444.
Find LCM of 844,551,702,116 with Prime Factorization
| 2 | 844, 551, 702, 116 |
| 2 | 422, 551, 351, 58 |
| 29 | 211, 551, 351, 29 |
| 211, 19, 351, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 211 x 19 x 351 x 1 = 163230444
Therefore, the lowest common multiple of 844,551,702,116 is 163230444.
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.
844 x 551 x 702 x 116 = 37869463008
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.
844 : 1, 2, 4, 211, 422, 844
551 : 1, 19, 29, 551
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
116 : 1, 2, 4, 29, 58, 116
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,551,702,116, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
551:19x 29
702:2x 3x 3x 3x 13
116:2x 2x 29
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 29 = 232
Therefore, the value for common factors is 232.
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 = 37869463008/(1x232)
LCM = 37869463008/232
LCM = 163230444
Thus, we can understand that the LCM of 844,551,702,116 is 163230444.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 551, 702, 116
1. What is the LCM of 844, 551, 702, 116?
Answer: LCM of 844, 551, 702, 116 is 163230444.
2. How to calculate the LCM of 844, 551, 702, 116?
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 844, 551, 702, 116.
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}.