LCM of 707, 581, 303, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 581, 303, 525 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 707, 581, 303, 525. So, keep reading to learn more.
Given numbers are 707,581,303,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,581,303,525 is 4401075.
Find LCM of 707,581,303,525 with Prime Factorization
| 3 | 707, 581, 303, 525 |
| 7 | 707, 581, 101, 175 |
| 101 | 101, 83, 101, 25 |
| 1, 83, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 101 x 1 x 83 x 1 x 25 = 4401075
Therefore, the lowest common multiple of 707,581,303,525 is 4401075.
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.
707 x 581 x 303 x 525 = 65342760525
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.
707 : 1, 7, 101, 707
581 : 1, 7, 83, 581
303 : 1, 3, 101, 303
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,581,303,525, is 1.
Now, the common factors can be found like this.
707:7x 101
581:7x 83
303:3x 101
525:3x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 101 = 14847
Therefore, the value for common factors is 14847.
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 = 65342760525/(1x14847)
LCM = 65342760525/14847
LCM = 4401075
Thus, we can understand that the LCM of 707,581,303,525 is 4401075.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 707, 581, 303, 525
1. What is the LCM of 707, 581, 303, 525?
Answer: LCM of 707, 581, 303, 525 is 4401075.
2. How to calculate the LCM of 707, 581, 303, 525?
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 707, 581, 303, 525.
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}.