LCM of 712, 609, 838, 978, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 712, 609, 838, 978, 112 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 712, 609, 838, 978, 112. So, keep reading to learn more.
Given numbers are 712,609,838,978,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,609,838,978,112 is 59228251152.
Find LCM of 712,609,838,978,112 with Prime Factorization
| 2 | 712, 609, 838, 978, 112 |
| 2 | 356, 609, 419, 489, 56 |
| 2 | 178, 609, 419, 489, 28 |
| 3 | 89, 609, 419, 489, 14 |
| 7 | 89, 203, 419, 163, 14 |
| 89, 29, 419, 163, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 89 x 29 x 419 x 163 x 2 = 59228251152
Therefore, the lowest common multiple of 712,609,838,978,112 is 59228251152.
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.
712 x 609 x 838 x 978 x 112 = 39801384774144
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
609 : 1, 3, 7, 21, 29, 87, 203, 609
838 : 1, 2, 419, 838
978 : 1, 2, 3, 6, 163, 326, 489, 978
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,609,838,978,112, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
609:3x 7x 29
838:2x 419
978:2x 3x 163
112:2x 2x 2x 2x 7
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 7 = 672
Therefore, the value for common factors is 672.
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 = 39801384774144/(1x672)
LCM = 39801384774144/672
LCM = 59228251152
Thus, we can understand that the LCM of 712,609,838,978,112 is 59228251152.
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FAQs on LCM of 712, 609, 838, 978, 112
1. What is the LCM of 712, 609, 838, 978, 112?
Answer: LCM of 712, 609, 838, 978, 112 is 59228251152.
2. How to calculate the LCM of 712, 609, 838, 978, 112?
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 712, 609, 838, 978, 112.
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}.