LCM of 685, 735, 591, 788, 535
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 735, 591, 788, 535 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 685, 735, 591, 788, 535. So, keep reading to learn more.
Given numbers are 685,735,591,788,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,735,591,788,535 is 8490199620.
Find LCM of 685,735,591,788,535 with Prime Factorization
| 3 | 685, 735, 591, 788, 535 |
| 5 | 685, 245, 197, 788, 535 |
| 197 | 137, 49, 197, 788, 107 |
| 137, 49, 1, 4, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 197 x 137 x 49 x 1 x 4 x 107 = 8490199620
Therefore, the lowest common multiple of 685,735,591,788,535 is 8490199620.
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.
685 x 735 x 591 x 788 x 535 = 125442699385500
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.
685 : 1, 5, 137, 685
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
591 : 1, 3, 197, 591
788 : 1, 2, 4, 197, 394, 788
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,735,591,788,535, is 1.
Now, the common factors can be found like this.
685:5x 137
735:3x 5x 7x 7
591:3x 197
788:2x 2x 197
535:5x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 197 = 14775
Therefore, the value for common factors is 14775.
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 = 125442699385500/(1x14775)
LCM = 125442699385500/14775
LCM = 8490199620
Thus, we can understand that the LCM of 685,735,591,788,535 is 8490199620.
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FAQs on LCM of 685, 735, 591, 788, 535
1. What is the LCM of 685, 735, 591, 788, 535?
Answer: LCM of 685, 735, 591, 788, 535 is 8490199620.
2. How to calculate the LCM of 685, 735, 591, 788, 535?
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 685, 735, 591, 788, 535.
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}.