LCM of 507, 495, 660, 267
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 495, 660, 267 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 507, 495, 660, 267. So, keep reading to learn more.
Given numbers are 507,495,660,267
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,495,660,267 is 29781180.
Find LCM of 507,495,660,267 with Prime Factorization
| 3 | 507, 495, 660, 267 |
| 5 | 169, 165, 220, 89 |
| 11 | 169, 33, 44, 89 |
| 169, 3, 4, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 169 x 3 x 4 x 89 = 29781180
Therefore, the lowest common multiple of 507,495,660,267 is 29781180.
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.
507 x 495 x 660 x 267 = 44225052300
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.
507 : 1, 3, 13, 39, 169, 507
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
267 : 1, 3, 89, 267
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,495,660,267, is 3.
Now, the common factors can be found like this.
507:3x 13x 13
495:3x 3x 5x 11
660:2x 2x 3x 5x 11
267:3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 11 = 495
Therefore, the value for common factors is 495.
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 = 44225052300/(3x495)
LCM = 44225052300/1485
LCM = 29781180
Thus, we can understand that the LCM of 507,495,660,267 is 29781180.
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FAQs on LCM of 507, 495, 660, 267
1. What is the LCM of 507, 495, 660, 267?
Answer: LCM of 507, 495, 660, 267 is 29781180.
2. How to calculate the LCM of 507, 495, 660, 267?
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 507, 495, 660, 267.
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}.