LCM of 507, 660, 180, 350, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 660, 180, 350, 735 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, 660, 180, 350, 735. So, keep reading to learn more.
Given numbers are 507,660,180,350,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,660,180,350,735 is 81981900.
Find LCM of 507,660,180,350,735 with Prime Factorization
| 2 | 507, 660, 180, 350, 735 |
| 2 | 507, 330, 90, 175, 735 |
| 3 | 507, 165, 45, 175, 735 |
| 5 | 169, 55, 15, 175, 245 |
| 7 | 169, 11, 3, 35, 49 |
| 169, 11, 3, 5, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 169 x 11 x 3 x 5 x 7 = 81981900
Therefore, the lowest common multiple of 507,660,180,350,735 is 81981900.
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 660 x 180 x 350 x 735 = 15494579100000
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
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
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,660,180,350,735, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
660:2x 2x 3x 5x 11
180:2x 2x 3x 3x 5
350:2x 5x 5x 7
735:3x 5x 7x 7
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 3x 3x 3x 5x 5x 5x 7 = 189000
Therefore, the value for common factors is 189000.
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 = 15494579100000/(1x189000)
LCM = 15494579100000/189000
LCM = 81981900
Thus, we can understand that the LCM of 507,660,180,350,735 is 81981900.
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FAQs on LCM of 507, 660, 180, 350, 735
1. What is the LCM of 507, 660, 180, 350, 735?
Answer: LCM of 507, 660, 180, 350, 735 is 81981900.
2. How to calculate the LCM of 507, 660, 180, 350, 735?
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, 660, 180, 350, 735.
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}.