LCM of 535, 574, 907, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 574, 907, 721 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 535, 574, 907, 721. So, keep reading to learn more.
Given numbers are 535,574,907,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,574,907,721 is 28688654890.
Find LCM of 535,574,907,721 with Prime Factorization
| 7 | 535, 574, 907, 721 |
| 535, 82, 907, 103 |
Multiply the prime numbers at the bottom and the left side.
7 x 535 x 82 x 907 x 103 = 28688654890
Therefore, the lowest common multiple of 535,574,907,721 is 28688654890.
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.
535 x 574 x 907 x 721 = 200820584230
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.
535 : 1, 5, 107, 535
574 : 1, 2, 7, 14, 41, 82, 287, 574
907 : 1, 907
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,574,907,721, is 1.
Now, the common factors can be found like this.
535:5x 107
574:2x 7x 41
907:907
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 200820584230/(1x7)
LCM = 200820584230/7
LCM = 28688654890
Thus, we can understand that the LCM of 535,574,907,721 is 28688654890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 535, 574, 907, 721
1. What is the LCM of 535, 574, 907, 721?
Answer: LCM of 535, 574, 907, 721 is 28688654890.
2. How to calculate the LCM of 535, 574, 907, 721?
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 535, 574, 907, 721.
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}.