LCM of 830, 711, 978, 872, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 711, 978, 872, 970 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 830, 711, 978, 872, 970. So, keep reading to learn more.
Given numbers are 830,711,978,872,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,711,978,872,970 is 4068117807480.
Find LCM of 830,711,978,872,970 with Prime Factorization
| 2 | 830, 711, 978, 872, 970 |
| 3 | 415, 711, 489, 436, 485 |
| 5 | 415, 237, 163, 436, 485 |
| 83, 237, 163, 436, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 83 x 237 x 163 x 436 x 97 = 4068117807480
Therefore, the lowest common multiple of 830,711,978,872,970 is 4068117807480.
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.
830 x 711 x 978 x 872 x 970 = 488174136897600
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
711 : 1, 3, 9, 79, 237, 711
978 : 1, 2, 3, 6, 163, 326, 489, 978
872 : 1, 2, 4, 8, 109, 218, 436, 872
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,711,978,872,970, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
711:3x 3x 79
978:2x 3x 163
872:2x 2x 2x 109
970:2x 5x 97
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 488174136897600/(1x120)
LCM = 488174136897600/120
LCM = 4068117807480
Thus, we can understand that the LCM of 830,711,978,872,970 is 4068117807480.
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FAQs on LCM of 830, 711, 978, 872, 970
1. What is the LCM of 830, 711, 978, 872, 970?
Answer: LCM of 830, 711, 978, 872, 970 is 4068117807480.
2. How to calculate the LCM of 830, 711, 978, 872, 970?
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 830, 711, 978, 872, 970.
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}.