LCM of 844, 620, 978, 281, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 620, 978, 281, 174 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, 620, 978, 281, 174. So, keep reading to learn more.
Given numbers are 844,620,978,281,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,620,978,281,174 is 521299516020.
Find LCM of 844,620,978,281,174 with Prime Factorization
| 2 | 844, 620, 978, 281, 174 |
| 2 | 422, 310, 489, 281, 87 |
| 3 | 211, 155, 489, 281, 87 |
| 211, 155, 163, 281, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 211 x 155 x 163 x 281 x 29 = 521299516020
Therefore, the lowest common multiple of 844,620,978,281,174 is 521299516020.
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 620 x 978 x 281 x 174 = 25022376768960
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
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
978 : 1, 2, 3, 6, 163, 326, 489, 978
281 : 1, 281
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,620,978,281,174, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
620:2x 2x 5x 31
978:2x 3x 163
281:281
174:2x 3x 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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 25022376768960/(1x48)
LCM = 25022376768960/48
LCM = 521299516020
Thus, we can understand that the LCM of 844,620,978,281,174 is 521299516020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 620, 978, 281, 174
1. What is the LCM of 844, 620, 978, 281, 174?
Answer: LCM of 844, 620, 978, 281, 174 is 521299516020.
2. How to calculate the LCM of 844, 620, 978, 281, 174?
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, 620, 978, 281, 174.
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}.