LCM of 524, 693, 202, 707, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 693, 202, 707, 600 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 524, 693, 202, 707, 600. So, keep reading to learn more.
Given numbers are 524,693,202,707,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,693,202,707,600 is 1833816600.
Find LCM of 524,693,202,707,600 with Prime Factorization
| 2 | 524, 693, 202, 707, 600 |
| 2 | 262, 693, 101, 707, 300 |
| 3 | 131, 693, 101, 707, 150 |
| 7 | 131, 231, 101, 707, 50 |
| 101 | 131, 33, 101, 101, 50 |
| 131, 33, 1, 1, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 101 x 131 x 33 x 1 x 1 x 50 = 1833816600
Therefore, the lowest common multiple of 524,693,202,707,600 is 1833816600.
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.
524 x 693 x 202 x 707 x 600 = 31116200068800
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.
524 : 1, 2, 4, 131, 262, 524
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
202 : 1, 2, 101, 202
707 : 1, 7, 101, 707
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,693,202,707,600, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
693:3x 3x 7x 11
202:2x 101
707:7x 101
600:2x 2x 2x 3x 5x 5
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 7x 101 = 16968
Therefore, the value for common factors is 16968.
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 = 31116200068800/(1x16968)
LCM = 31116200068800/16968
LCM = 1833816600
Thus, we can understand that the LCM of 524,693,202,707,600 is 1833816600.
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FAQs on LCM of 524, 693, 202, 707, 600
1. What is the LCM of 524, 693, 202, 707, 600?
Answer: LCM of 524, 693, 202, 707, 600 is 1833816600.
2. How to calculate the LCM of 524, 693, 202, 707, 600?
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 524, 693, 202, 707, 600.
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}.