LCM of 724, 140, 644, 595, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 140, 644, 595, 635 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 724, 140, 644, 595, 635. So, keep reading to learn more.
Given numbers are 724,140,644,595,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,140,644,595,635 is 1258308380.
Find LCM of 724,140,644,595,635 with Prime Factorization
| 2 | 724, 140, 644, 595, 635 |
| 2 | 362, 70, 322, 595, 635 |
| 5 | 181, 35, 161, 595, 635 |
| 7 | 181, 7, 161, 119, 127 |
| 181, 1, 23, 17, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 181 x 1 x 23 x 17 x 127 = 1258308380
Therefore, the lowest common multiple of 724,140,644,595,635 is 1258308380.
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.
724 x 140 x 644 x 595 x 635 = 24662844248000
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.
724 : 1, 2, 4, 181, 362, 724
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
595 : 1, 5, 7, 17, 35, 85, 119, 595
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,140,644,595,635, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
140:2x 2x 5x 7
644:2x 2x 7x 23
595:5x 7x 17
635:5x 127
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 5x 7x 7 = 19600
Therefore, the value for common factors is 19600.
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 = 24662844248000/(1x19600)
LCM = 24662844248000/19600
LCM = 1258308380
Thus, we can understand that the LCM of 724,140,644,595,635 is 1258308380.
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FAQs on LCM of 724, 140, 644, 595, 635
1. What is the LCM of 724, 140, 644, 595, 635?
Answer: LCM of 724, 140, 644, 595, 635 is 1258308380.
2. How to calculate the LCM of 724, 140, 644, 595, 635?
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 724, 140, 644, 595, 635.
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}.