LCM of 537, 685, 978, 848, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 537, 685, 978, 848, 588 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 537, 685, 978, 848, 588. So, keep reading to learn more.
Given numbers are 537,685,978,848,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,685,978,848,588 is 2491405356720.
Find LCM of 537,685,978,848,588 with Prime Factorization
| 2 | 537, 685, 978, 848, 588 |
| 2 | 537, 685, 489, 424, 294 |
| 3 | 537, 685, 489, 212, 147 |
| 179, 685, 163, 212, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 179 x 685 x 163 x 212 x 49 = 2491405356720
Therefore, the lowest common multiple of 537,685,978,848,588 is 2491405356720.
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.
537 x 685 x 978 x 848 x 588 = 179381185683840
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.
537 : 1, 3, 179, 537
685 : 1, 5, 137, 685
978 : 1, 2, 3, 6, 163, 326, 489, 978
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,685,978,848,588, is 1.
Now, the common factors can be found like this.
537:3x 179
685:5x 137
978:2x 3x 163
848:2x 2x 2x 2x 53
588:2x 2x 3x 7x 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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 179381185683840/(1x72)
LCM = 179381185683840/72
LCM = 2491405356720
Thus, we can understand that the LCM of 537,685,978,848,588 is 2491405356720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 537, 685, 978, 848, 588
1. What is the LCM of 537, 685, 978, 848, 588?
Answer: LCM of 537, 685, 978, 848, 588 is 2491405356720.
2. How to calculate the LCM of 537, 685, 978, 848, 588?
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 537, 685, 978, 848, 588.
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}.