LCM of 637, 947, 288, 605, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 947, 288, 605, 492 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 637, 947, 288, 605, 492. So, keep reading to learn more.
Given numbers are 637,947,288,605,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,947,288,605,492 is 4309442897760.
Find LCM of 637,947,288,605,492 with Prime Factorization
| 2 | 637, 947, 288, 605, 492 |
| 2 | 637, 947, 144, 605, 246 |
| 3 | 637, 947, 72, 605, 123 |
| 637, 947, 24, 605, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 637 x 947 x 24 x 605 x 41 = 4309442897760
Therefore, the lowest common multiple of 637,947,288,605,492 is 4309442897760.
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.
637 x 947 x 288 x 605 x 492 = 51713314773120
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.
637 : 1, 7, 13, 49, 91, 637
947 : 1, 947
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
605 : 1, 5, 11, 55, 121, 605
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,947,288,605,492, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
947:947
288:2x 2x 2x 2x 2x 3x 3
605:5x 11x 11
492:2x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 51713314773120/(1x12)
LCM = 51713314773120/12
LCM = 4309442897760
Thus, we can understand that the LCM of 637,947,288,605,492 is 4309442897760.
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FAQs on LCM of 637, 947, 288, 605, 492
1. What is the LCM of 637, 947, 288, 605, 492?
Answer: LCM of 637, 947, 288, 605, 492 is 4309442897760.
2. How to calculate the LCM of 637, 947, 288, 605, 492?
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 637, 947, 288, 605, 492.
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}.