LCM of 535, 187, 536, 440, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 187, 536, 440, 782 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 535, 187, 536, 440, 782. So, keep reading to learn more.
Given numbers are 535,187,536,440,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,187,536,440,782 is 1233354760.
Find LCM of 535,187,536,440,782 with Prime Factorization
| 2 | 535, 187, 536, 440, 782 |
| 2 | 535, 187, 268, 220, 391 |
| 2 | 535, 187, 134, 110, 391 |
| 5 | 535, 187, 67, 55, 391 |
| 11 | 107, 187, 67, 11, 391 |
| 17 | 107, 17, 67, 1, 391 |
| 107, 1, 67, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 17 x 107 x 1 x 67 x 1 x 23 = 1233354760
Therefore, the lowest common multiple of 535,187,536,440,782 is 1233354760.
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.
535 x 187 x 536 x 440 x 782 = 18450987209600
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.
535 : 1, 5, 107, 535
187 : 1, 11, 17, 187
536 : 1, 2, 4, 8, 67, 134, 268, 536
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,187,536,440,782, is 1.
Now, the common factors can be found like this.
535:5x 107
187:11x 17
536:2x 2x 2x 67
440:2x 2x 2x 5x 11
782:2x 17x 23
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 5x 11x 17 = 14960
Therefore, the value for common factors is 14960.
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 = 18450987209600/(1x14960)
LCM = 18450987209600/14960
LCM = 1233354760
Thus, we can understand that the LCM of 535,187,536,440,782 is 1233354760.
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FAQs on LCM of 535, 187, 536, 440, 782
1. What is the LCM of 535, 187, 536, 440, 782?
Answer: LCM of 535, 187, 536, 440, 782 is 1233354760.
2. How to calculate the LCM of 535, 187, 536, 440, 782?
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 535, 187, 536, 440, 782.
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}.