LCM of 671, 260, 637, 493, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 260, 637, 493, 144 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 671, 260, 637, 493, 144. So, keep reading to learn more.
Given numbers are 671,260,637,493,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,260,637,493,144 is 151719487920.
Find LCM of 671,260,637,493,144 with Prime Factorization
| 2 | 671, 260, 637, 493, 144 |
| 2 | 671, 130, 637, 493, 72 |
| 13 | 671, 65, 637, 493, 36 |
| 671, 5, 49, 493, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 671 x 5 x 49 x 493 x 36 = 151719487920
Therefore, the lowest common multiple of 671,260,637,493,144 is 151719487920.
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.
671 x 260 x 637 x 493 x 144 = 7889413371840
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.
671 : 1, 11, 61, 671
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
637 : 1, 7, 13, 49, 91, 637
493 : 1, 17, 29, 493
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,260,637,493,144, is 1.
Now, the common factors can be found like this.
671:11x 61
260:2x 2x 5x 13
637:7x 7x 13
493:17x 29
144:2x 2x 2x 2x 3x 3
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 13 = 52
Therefore, the value for common factors is 52.
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 = 7889413371840/(1x52)
LCM = 7889413371840/52
LCM = 151719487920
Thus, we can understand that the LCM of 671,260,637,493,144 is 151719487920.
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FAQs on LCM of 671, 260, 637, 493, 144
1. What is the LCM of 671, 260, 637, 493, 144?
Answer: LCM of 671, 260, 637, 493, 144 is 151719487920.
2. How to calculate the LCM of 671, 260, 637, 493, 144?
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 671, 260, 637, 493, 144.
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}.