LCM of 305, 565, 140, 648, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 565, 140, 648, 536 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 305, 565, 140, 648, 536. So, keep reading to learn more.
Given numbers are 305,565,140,648,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,565,140,648,536 is 10474327080.
Find LCM of 305,565,140,648,536 with Prime Factorization
| 2 | 305, 565, 140, 648, 536 |
| 2 | 305, 565, 70, 324, 268 |
| 2 | 305, 565, 35, 162, 134 |
| 5 | 305, 565, 35, 81, 67 |
| 61, 113, 7, 81, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 61 x 113 x 7 x 81 x 67 = 10474327080
Therefore, the lowest common multiple of 305,565,140,648,536 is 10474327080.
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.
305 x 565 x 140 x 648 x 536 = 8379461664000
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.
305 : 1, 5, 61, 305
565 : 1, 5, 113, 565
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,565,140,648,536, is 1.
Now, the common factors can be found like this.
305:5x 61
565:5x 113
140:2x 2x 5x 7
648:2x 2x 2x 3x 3x 3x 3
536:2x 2x 2x 67
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 5 = 800
Therefore, the value for common factors is 800.
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 = 8379461664000/(1x800)
LCM = 8379461664000/800
LCM = 10474327080
Thus, we can understand that the LCM of 305,565,140,648,536 is 10474327080.
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FAQs on LCM of 305, 565, 140, 648, 536
1. What is the LCM of 305, 565, 140, 648, 536?
Answer: LCM of 305, 565, 140, 648, 536 is 10474327080.
2. How to calculate the LCM of 305, 565, 140, 648, 536?
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 305, 565, 140, 648, 536.
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}.