LCM of 440, 748, 528, 605, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 748, 528, 605, 131 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 440, 748, 528, 605, 131. So, keep reading to learn more.
Given numbers are 440,748,528,605,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,748,528,605,131 is 64672080.
Find LCM of 440,748,528,605,131 with Prime Factorization
| 2 | 440, 748, 528, 605, 131 |
| 2 | 220, 374, 264, 605, 131 |
| 2 | 110, 187, 132, 605, 131 |
| 5 | 55, 187, 66, 605, 131 |
| 11 | 11, 187, 66, 121, 131 |
| 1, 17, 6, 11, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 1 x 17 x 6 x 11 x 131 = 64672080
Therefore, the lowest common multiple of 440,748,528,605,131 is 64672080.
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.
440 x 748 x 528 x 605 x 131 = 13772566156800
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
605 : 1, 5, 11, 55, 121, 605
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,748,528,605,131, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
748:2x 2x 11x 17
528:2x 2x 2x 2x 3x 11
605:5x 11x 11
131:131
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 5x 11x 11x 11 = 212960
Therefore, the value for common factors is 212960.
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 = 13772566156800/(1x212960)
LCM = 13772566156800/212960
LCM = 64672080
Thus, we can understand that the LCM of 440,748,528,605,131 is 64672080.
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FAQs on LCM of 440, 748, 528, 605, 131
1. What is the LCM of 440, 748, 528, 605, 131?
Answer: LCM of 440, 748, 528, 605, 131 is 64672080.
2. How to calculate the LCM of 440, 748, 528, 605, 131?
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 440, 748, 528, 605, 131.
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}.