LCM of 636, 587, 270, 636, 246
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 587, 270, 636, 246 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 636, 587, 270, 636, 246. So, keep reading to learn more.
Given numbers are 636,587,270,636,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,587,270,636,246 is 688797540.
Find LCM of 636,587,270,636,246 with Prime Factorization
| 2 | 636, 587, 270, 636, 246 |
| 2 | 318, 587, 135, 318, 123 |
| 3 | 159, 587, 135, 159, 123 |
| 53 | 53, 587, 45, 53, 41 |
| 1, 587, 45, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 1 x 587 x 45 x 1 x 41 = 688797540
Therefore, the lowest common multiple of 636,587,270,636,246 is 688797540.
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.
636 x 587 x 270 x 636 x 246 = 15770708475840
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
587 : 1, 587
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,587,270,636,246, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
587:587
270:2x 3x 3x 3x 5
636:2x 2x 3x 53
246:2x 3x 41
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 3x 3x 3x 53 = 22896
Therefore, the value for common factors is 22896.
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 = 15770708475840/(1x22896)
LCM = 15770708475840/22896
LCM = 688797540
Thus, we can understand that the LCM of 636,587,270,636,246 is 688797540.
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FAQs on LCM of 636, 587, 270, 636, 246
1. What is the LCM of 636, 587, 270, 636, 246?
Answer: LCM of 636, 587, 270, 636, 246 is 688797540.
2. How to calculate the LCM of 636, 587, 270, 636, 246?
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 636, 587, 270, 636, 246.
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}.